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Finding the Third Proportional to 442.13 and 724.78

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Solution

The third proportional to 442.13 and 724.78 is: 1,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 724.78 = 724.78 : x
  2. Step 2: Convert to fraction form
    442.13/724.78 = 724.78/x
  3. Step 3: Cross multiply
    442.13x = 724.78 × 724.78
  4. Step 4: Simplify right side
    442.13x = 525,307.86
  5. Step 5: Solve for x
    x = 525,307.86/442.13
  6. Step 6: Final answer
    x = 1,188.14

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.