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Finding the Third Proportional to 276,458,766.75 and 593,945,318.25

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Solution

The third proportional to 276,458,766.75 and 593,945,318.25 is: 1,276,034,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,458,766.75 : 593,945,318.25 = 593,945,318.25 : x
  2. Step 2: Convert to fraction form
    276,458,766.75/593,945,318.25 = 593,945,318.25/x
  3. Step 3: Cross multiply
    276,458,766.75x = 593,945,318.25 × 593,945,318.25
  4. Step 4: Simplify right side
    276,458,766.75x = 352,771,041,071,093,760
  5. Step 5: Solve for x
    x = 352,771,041,071,093,760/276,458,766.75
  6. Step 6: Final answer
    x = 1,276,034,922.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.