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Finding the Third Proportional to 276,102 and 584,030.25

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Solution

The third proportional to 276,102 and 584,030.25 is: 1,235,381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,102 : 584,030.25 = 584,030.25 : x
  2. Step 2: Convert to fraction form
    276,102/584,030.25 = 584,030.25/x
  3. Step 3: Cross multiply
    276,102x = 584,030.25 × 584,030.25
  4. Step 4: Simplify right side
    276,102x = 341,091,332,915.06
  5. Step 5: Solve for x
    x = 341,091,332,915.06/276,102
  6. Step 6: Final answer
    x = 1,235,381.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.