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Finding the Third Proportional to 700.88 and 1,087.31

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Solution

The third proportional to 700.88 and 1,087.31 is: 1,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.88 : 1,087.31 = 1,087.31 : x
  2. Step 2: Convert to fraction form
    700.88/1,087.31 = 1,087.31/x
  3. Step 3: Cross multiply
    700.88x = 1,087.31 × 1,087.31
  4. Step 4: Simplify right side
    700.88x = 1,182,248.47
  5. Step 5: Solve for x
    x = 1,182,248.47/700.88
  6. Step 6: Final answer
    x = 1,686.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.