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Finding the Third Proportional to 502,084.50 and 764,891.38

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Solution

The third proportional to 502,084.50 and 764,891.38 is: 1,165,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,084.50 : 764,891.38 = 764,891.38 : x
  2. Step 2: Convert to fraction form
    502,084.50/764,891.38 = 764,891.38/x
  3. Step 3: Cross multiply
    502,084.50x = 764,891.38 × 764,891.38
  4. Step 4: Simplify right side
    502,084.50x = 585,058,815,549.39
  5. Step 5: Solve for x
    x = 585,058,815,549.39/502,084.50
  6. Step 6: Final answer
    x = 1,165,259.66

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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.