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Finding the Third Proportional to 472.46 and 732.90

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Solution

The third proportional to 472.46 and 732.90 is: 1,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.46 : 732.90 = 732.90 : x
  2. Step 2: Convert to fraction form
    472.46/732.90 = 732.90/x
  3. Step 3: Cross multiply
    472.46x = 732.90 × 732.90
  4. Step 4: Simplify right side
    472.46x = 537,145.85
  5. Step 5: Solve for x
    x = 537,145.85/472.46
  6. Step 6: Final answer
    x = 1,136.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.