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Finding the Third Proportional to 497,331 and 764,874

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Solution

The third proportional to 497,331 and 764,874 is: 1,176,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,331 : 764,874 = 764,874 : x
  2. Step 2: Convert to fraction form
    497,331/764,874 = 764,874/x
  3. Step 3: Cross multiply
    497,331x = 764,874 × 764,874
  4. Step 4: Simplify right side
    497,331x = 585,032,235,876
  5. Step 5: Solve for x
    x = 585,032,235,876/497,331
  6. Step 6: Final answer
    x = 1,176,343.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.