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Finding the Third Proportional to 416.50 and 691.13

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Solution

The third proportional to 416.50 and 691.13 is: 1,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.50 : 691.13 = 691.13 : x
  2. Step 2: Convert to fraction form
    416.50/691.13 = 691.13/x
  3. Step 3: Cross multiply
    416.50x = 691.13 × 691.13
  4. Step 4: Simplify right side
    416.50x = 477,653.77
  5. Step 5: Solve for x
    x = 477,653.77/416.50
  6. Step 6: Final answer
    x = 1,146.83

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.