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Finding the Third Proportional to 723.30 and 1,175.13

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Solution

The third proportional to 723.30 and 1,175.13 is: 1,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.30 : 1,175.13 = 1,175.13 : x
  2. Step 2: Convert to fraction form
    723.30/1,175.13 = 1,175.13/x
  3. Step 3: Cross multiply
    723.30x = 1,175.13 × 1,175.13
  4. Step 4: Simplify right side
    723.30x = 1,380,937.13
  5. Step 5: Solve for x
    x = 1,380,937.13/723.30
  6. Step 6: Final answer
    x = 1,909.21

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.