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Finding the Third Proportional to 712.73 and 1,531.59

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Solution

The third proportional to 712.73 and 1,531.59 is: 3,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.73 : 1,531.59 = 1,531.59 : x
  2. Step 2: Convert to fraction form
    712.73/1,531.59 = 1,531.59/x
  3. Step 3: Cross multiply
    712.73x = 1,531.59 × 1,531.59
  4. Step 4: Simplify right side
    712.73x = 2,345,779.42
  5. Step 5: Solve for x
    x = 2,345,779.42/712.73
  6. Step 6: Final answer
    x = 3,291.24

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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.