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Finding the Third Proportional to 502,021 and 764,798

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Solution

The third proportional to 502,021 and 764,798 is: 1,165,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,021 : 764,798 = 764,798 : x
  2. Step 2: Convert to fraction form
    502,021/764,798 = 764,798/x
  3. Step 3: Cross multiply
    502,021x = 764,798 × 764,798
  4. Step 4: Simplify right side
    502,021x = 584,915,980,804
  5. Step 5: Solve for x
    x = 584,915,980,804/502,021
  6. Step 6: Final answer
    x = 1,165,122.54

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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.