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Finding the Third Proportional to 316.83 and 473.91

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Solution

The third proportional to 316.83 and 473.91 is: 708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.83 : 473.91 = 473.91 : x
  2. Step 2: Convert to fraction form
    316.83/473.91 = 473.91/x
  3. Step 3: Cross multiply
    316.83x = 473.91 × 473.91
  4. Step 4: Simplify right side
    316.83x = 224,587.13
  5. Step 5: Solve for x
    x = 224,587.13/316.83
  6. Step 6: Final answer
    x = 708.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.