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Finding the Third Proportional to 707.91 and 1,105.31

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Solution

The third proportional to 707.91 and 1,105.31 is: 1,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.91 : 1,105.31 = 1,105.31 : x
  2. Step 2: Convert to fraction form
    707.91/1,105.31 = 1,105.31/x
  3. Step 3: Cross multiply
    707.91x = 1,105.31 × 1,105.31
  4. Step 4: Simplify right side
    707.91x = 1,221,715.72
  5. Step 5: Solve for x
    x = 1,221,715.72/707.91
  6. Step 6: Final answer
    x = 1,725.82

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.