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Finding the Third Proportional to 463,329 and 739,957

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Solution

The third proportional to 463,329 and 739,957 is: 1,181,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,329 : 739,957 = 739,957 : x
  2. Step 2: Convert to fraction form
    463,329/739,957 = 739,957/x
  3. Step 3: Cross multiply
    463,329x = 739,957 × 739,957
  4. Step 4: Simplify right side
    463,329x = 547,536,361,849
  5. Step 5: Solve for x
    x = 547,536,361,849/463,329
  6. Step 6: Final answer
    x = 1,181,744.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.