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Finding the Third Proportional to 722.67 and 1,472.34

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Solution

The third proportional to 722.67 and 1,472.34 is: 2,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.67 : 1,472.34 = 1,472.34 : x
  2. Step 2: Convert to fraction form
    722.67/1,472.34 = 1,472.34/x
  3. Step 3: Cross multiply
    722.67x = 1,472.34 × 1,472.34
  4. Step 4: Simplify right side
    722.67x = 2,167,796.12
  5. Step 5: Solve for x
    x = 2,167,796.12/722.67
  6. Step 6: Final answer
    x = 2,999.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.