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Finding the Third Proportional to 502,005 and 764,772.75

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Solution

The third proportional to 502,005 and 764,772.75 is: 1,165,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,005 : 764,772.75 = 764,772.75 : x
  2. Step 2: Convert to fraction form
    502,005/764,772.75 = 764,772.75/x
  3. Step 3: Cross multiply
    502,005x = 764,772.75 × 764,772.75
  4. Step 4: Simplify right side
    502,005x = 584,877,359,142.56
  5. Step 5: Solve for x
    x = 584,877,359,142.56/502,005
  6. Step 6: Final answer
    x = 1,165,082.74

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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.