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Finding the Third Proportional to 499.69 and 710.72

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Solution

The third proportional to 499.69 and 710.72 is: 1,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.69 : 710.72 = 710.72 : x
  2. Step 2: Convert to fraction form
    499.69/710.72 = 710.72/x
  3. Step 3: Cross multiply
    499.69x = 710.72 × 710.72
  4. Step 4: Simplify right side
    499.69x = 505,121.14
  5. Step 5: Solve for x
    x = 505,121.14/499.69
  6. Step 6: Final answer
    x = 1,010.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.