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Finding the Third Proportional to 472.13 and 723.19

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Solution

The third proportional to 472.13 and 723.19 is: 1,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.13 : 723.19 = 723.19 : x
  2. Step 2: Convert to fraction form
    472.13/723.19 = 723.19/x
  3. Step 3: Cross multiply
    472.13x = 723.19 × 723.19
  4. Step 4: Simplify right side
    472.13x = 523,000.16
  5. Step 5: Solve for x
    x = 523,000.16/472.13
  6. Step 6: Final answer
    x = 1,107.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.