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Finding the Third Proportional to 807.38 and 1,089.56

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Solution

The third proportional to 807.38 and 1,089.56 is: 1,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.38 : 1,089.56 = 1,089.56 : x
  2. Step 2: Convert to fraction form
    807.38/1,089.56 = 1,089.56/x
  3. Step 3: Cross multiply
    807.38x = 1,089.56 × 1,089.56
  4. Step 4: Simplify right side
    807.38x = 1,187,146.44
  5. Step 5: Solve for x
    x = 1,187,146.44/807.38
  6. Step 6: Final answer
    x = 1,470.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.