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Finding the Third Proportional to 412.31 and 730.13

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Solution

The third proportional to 412.31 and 730.13 is: 1,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.31 : 730.13 = 730.13 : x
  2. Step 2: Convert to fraction form
    412.31/730.13 = 730.13/x
  3. Step 3: Cross multiply
    412.31x = 730.13 × 730.13
  4. Step 4: Simplify right side
    412.31x = 533,082.52
  5. Step 5: Solve for x
    x = 533,082.52/412.31
  6. Step 6: Final answer
    x = 1,292.91

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.