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Finding the Third Proportional to 314.88 and 472.38

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Solution

The third proportional to 314.88 and 472.38 is: 708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 472.38 = 472.38 : x
  2. Step 2: Convert to fraction form
    314.88/472.38 = 472.38/x
  3. Step 3: Cross multiply
    314.88x = 472.38 × 472.38
  4. Step 4: Simplify right side
    314.88x = 223,138.14
  5. Step 5: Solve for x
    x = 223,138.14/314.88
  6. Step 6: Final answer
    x = 708.66

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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.