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Finding the Third Proportional to 314.63 and 472.13

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Solution

The third proportional to 314.63 and 472.13 is: 708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.63 : 472.13 = 472.13 : x
  2. Step 2: Convert to fraction form
    314.63/472.13 = 472.13/x
  3. Step 3: Cross multiply
    314.63x = 472.13 × 472.13
  4. Step 4: Simplify right side
    314.63x = 222,902.02
  5. Step 5: Solve for x
    x = 222,902.02/314.63
  6. Step 6: Final answer
    x = 708.47

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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.