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Finding the Third Proportional to 502,015 and 764,785

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Solution

The third proportional to 502,015 and 764,785 is: 1,165,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,015 : 764,785 = 764,785 : x
  2. Step 2: Convert to fraction form
    502,015/764,785 = 764,785/x
  3. Step 3: Cross multiply
    502,015x = 764,785 × 764,785
  4. Step 4: Simplify right side
    502,015x = 584,896,096,225
  5. Step 5: Solve for x
    x = 584,896,096,225/502,015
  6. Step 6: Final answer
    x = 1,165,096.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.