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Finding the Third Proportional to 499.92 and 562.57

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Solution

The third proportional to 499.92 and 562.57 is: 633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.92 : 562.57 = 562.57 : x
  2. Step 2: Convert to fraction form
    499.92/562.57 = 562.57/x
  3. Step 3: Cross multiply
    499.92x = 562.57 × 562.57
  4. Step 4: Simplify right side
    499.92x = 316,485.36
  5. Step 5: Solve for x
    x = 316,485.36/499.92
  6. Step 6: Final answer
    x = 633.07

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.