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Finding the Third Proportional to 473.91 and 731.16

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Solution

The third proportional to 473.91 and 731.16 is: 1,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.91 : 731.16 = 731.16 : x
  2. Step 2: Convert to fraction form
    473.91/731.16 = 731.16/x
  3. Step 3: Cross multiply
    473.91x = 731.16 × 731.16
  4. Step 4: Simplify right side
    473.91x = 534,589.46
  5. Step 5: Solve for x
    x = 534,589.46/473.91
  6. Step 6: Final answer
    x = 1,128.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.