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Finding the Third Proportional to 718.82 and 1,089.02

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Solution

The third proportional to 718.82 and 1,089.02 is: 1,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.82 : 1,089.02 = 1,089.02 : x
  2. Step 2: Convert to fraction form
    718.82/1,089.02 = 1,089.02/x
  3. Step 3: Cross multiply
    718.82x = 1,089.02 × 1,089.02
  4. Step 4: Simplify right side
    718.82x = 1,185,959.29
  5. Step 5: Solve for x
    x = 1,185,959.29/718.82
  6. Step 6: Final answer
    x = 1,649.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.