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Finding the Third Proportional to 731.14 and 1,577.60

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Solution

The third proportional to 731.14 and 1,577.60 is: 3,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.14 : 1,577.60 = 1,577.60 : x
  2. Step 2: Convert to fraction form
    731.14/1,577.60 = 1,577.60/x
  3. Step 3: Cross multiply
    731.14x = 1,577.60 × 1,577.60
  4. Step 4: Simplify right side
    731.14x = 2,488,826.69
  5. Step 5: Solve for x
    x = 2,488,826.69/731.14
  6. Step 6: Final answer
    x = 3,404.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.