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Finding the Third Proportional to 712.69 and 1,531.88

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Solution

The third proportional to 712.69 and 1,531.88 is: 3,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.69 : 1,531.88 = 1,531.88 : x
  2. Step 2: Convert to fraction form
    712.69/1,531.88 = 1,531.88/x
  3. Step 3: Cross multiply
    712.69x = 1,531.88 × 1,531.88
  4. Step 4: Simplify right side
    712.69x = 2,346,641.02
  5. Step 5: Solve for x
    x = 2,346,641.02/712.69
  6. Step 6: Final answer
    x = 3,292.66

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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.