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Finding the Third Proportional to 713.18 and 1,532.46

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Solution

The third proportional to 713.18 and 1,532.46 is: 3,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.18 : 1,532.46 = 1,532.46 : x
  2. Step 2: Convert to fraction form
    713.18/1,532.46 = 1,532.46/x
  3. Step 3: Cross multiply
    713.18x = 1,532.46 × 1,532.46
  4. Step 4: Simplify right side
    713.18x = 2,348,436.52
  5. Step 5: Solve for x
    x = 2,348,436.52/713.18
  6. Step 6: Final answer
    x = 3,292.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.