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Finding the Third Proportional to 314.67 and 472.71

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Solution

The third proportional to 314.67 and 472.71 is: 710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.67 : 472.71 = 472.71 : x
  2. Step 2: Convert to fraction form
    314.67/472.71 = 472.71/x
  3. Step 3: Cross multiply
    314.67x = 472.71 × 472.71
  4. Step 4: Simplify right side
    314.67x = 223,455.63
  5. Step 5: Solve for x
    x = 223,455.63/314.67
  6. Step 6: Final answer
    x = 710.14

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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.