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Finding the Third Proportional to 472.31 and 708.94

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Solution

The third proportional to 472.31 and 708.94 is: 1,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.31 : 708.94 = 708.94 : x
  2. Step 2: Convert to fraction form
    472.31/708.94 = 708.94/x
  3. Step 3: Cross multiply
    472.31x = 708.94 × 708.94
  4. Step 4: Simplify right side
    472.31x = 502,592.38
  5. Step 5: Solve for x
    x = 502,592.38/472.31
  6. Step 6: Final answer
    x = 1,064.11

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