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Finding the Third Proportional to 276,263.25 and 595,035

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Solution

The third proportional to 276,263.25 and 595,035 is: 1,281,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,263.25 : 595,035 = 595,035 : x
  2. Step 2: Convert to fraction form
    276,263.25/595,035 = 595,035/x
  3. Step 3: Cross multiply
    276,263.25x = 595,035 × 595,035
  4. Step 4: Simplify right side
    276,263.25x = 354,066,651,225
  5. Step 5: Solve for x
    x = 354,066,651,225/276,263.25
  6. Step 6: Final answer
    x = 1,281,627.76

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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.