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Finding the Third Proportional to 712.97 and 1,044.84

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Solution

The third proportional to 712.97 and 1,044.84 is: 1,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.97 : 1,044.84 = 1,044.84 : x
  2. Step 2: Convert to fraction form
    712.97/1,044.84 = 1,044.84/x
  3. Step 3: Cross multiply
    712.97x = 1,044.84 × 1,044.84
  4. Step 4: Simplify right side
    712.97x = 1,091,698.46
  5. Step 5: Solve for x
    x = 1,091,698.46/712.97
  6. Step 6: Final answer
    x = 1,531.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.