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Finding the Third Proportional to 499.22 and 657.14

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Solution

The third proportional to 499.22 and 657.14 is: 865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.22 : 657.14 = 657.14 : x
  2. Step 2: Convert to fraction form
    499.22/657.14 = 657.14/x
  3. Step 3: Cross multiply
    499.22x = 657.14 × 657.14
  4. Step 4: Simplify right side
    499.22x = 431,833.80
  5. Step 5: Solve for x
    x = 431,833.80/499.22
  6. Step 6: Final answer
    x = 865.02

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.