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Finding the Third Proportional to 759.94 and 1,098.28

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Solution

The third proportional to 759.94 and 1,098.28 is: 1,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.94 : 1,098.28 = 1,098.28 : x
  2. Step 2: Convert to fraction form
    759.94/1,098.28 = 1,098.28/x
  3. Step 3: Cross multiply
    759.94x = 1,098.28 × 1,098.28
  4. Step 4: Simplify right side
    759.94x = 1,206,221.70
  5. Step 5: Solve for x
    x = 1,206,221.70/759.94
  6. Step 6: Final answer
    x = 1,587.26

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.