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Finding the Third Proportional to 291,304 and 632,432

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Solution

The third proportional to 291,304 and 632,432 is: 1,373,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,304 : 632,432 = 632,432 : x
  2. Step 2: Convert to fraction form
    291,304/632,432 = 632,432/x
  3. Step 3: Cross multiply
    291,304x = 632,432 × 632,432
  4. Step 4: Simplify right side
    291,304x = 399,970,234,624
  5. Step 5: Solve for x
    x = 399,970,234,624/291,304
  6. Step 6: Final answer
    x = 1,373,033.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.