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Finding the Third Proportional to 713.81 and 1,092.66

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Solution

The third proportional to 713.81 and 1,092.66 is: 1,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.81 : 1,092.66 = 1,092.66 : x
  2. Step 2: Convert to fraction form
    713.81/1,092.66 = 1,092.66/x
  3. Step 3: Cross multiply
    713.81x = 1,092.66 × 1,092.66
  4. Step 4: Simplify right side
    713.81x = 1,193,897.68
  5. Step 5: Solve for x
    x = 1,193,897.68/713.81
  6. Step 6: Final answer
    x = 1,672.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.