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Finding the Third Proportional to 472.41 and 885.19

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Solution

The third proportional to 472.41 and 885.19 is: 1,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.41 : 885.19 = 885.19 : x
  2. Step 2: Convert to fraction form
    472.41/885.19 = 885.19/x
  3. Step 3: Cross multiply
    472.41x = 885.19 × 885.19
  4. Step 4: Simplify right side
    472.41x = 783,556.91
  5. Step 5: Solve for x
    x = 783,556.91/472.41
  6. Step 6: Final answer
    x = 1,658.65

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.