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Finding the Third Proportional to 502,019 and 764,795

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Solution

The third proportional to 502,019 and 764,795 is: 1,165,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,019 : 764,795 = 764,795 : x
  2. Step 2: Convert to fraction form
    502,019/764,795 = 764,795/x
  3. Step 3: Cross multiply
    502,019x = 764,795 × 764,795
  4. Step 4: Simplify right side
    502,019x = 584,911,392,025
  5. Step 5: Solve for x
    x = 584,911,392,025/502,019
  6. Step 6: Final answer
    x = 1,165,118.04

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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.