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Finding the Third Proportional to 314.75 and 477.13

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Solution

The third proportional to 314.75 and 477.13 is: 723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.75 : 477.13 = 477.13 : x
  2. Step 2: Convert to fraction form
    314.75/477.13 = 477.13/x
  3. Step 3: Cross multiply
    314.75x = 477.13 × 477.13
  4. Step 4: Simplify right side
    314.75x = 227,648.27
  5. Step 5: Solve for x
    x = 227,648.27/314.75
  6. Step 6: Final answer
    x = 723.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.