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Finding the Third Proportional to 424.55 and 562.92

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Solution

The third proportional to 424.55 and 562.92 is: 746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.55 : 562.92 = 562.92 : x
  2. Step 2: Convert to fraction form
    424.55/562.92 = 562.92/x
  3. Step 3: Cross multiply
    424.55x = 562.92 × 562.92
  4. Step 4: Simplify right side
    424.55x = 316,881.04
  5. Step 5: Solve for x
    x = 316,881.04/424.55
  6. Step 6: Final answer
    x = 746.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.