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Finding the Third Proportional to 407,452 and 532,384

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Solution

The third proportional to 407,452 and 532,384 is: 695,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,452 : 532,384 = 532,384 : x
  2. Step 2: Convert to fraction form
    407,452/532,384 = 532,384/x
  3. Step 3: Cross multiply
    407,452x = 532,384 × 532,384
  4. Step 4: Simplify right side
    407,452x = 283,432,723,456
  5. Step 5: Solve for x
    x = 283,432,723,456/407,452
  6. Step 6: Final answer
    x = 695,622.36

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.