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Finding the Third Proportional to 723.52 and 1,161.42

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Solution

The third proportional to 723.52 and 1,161.42 is: 1,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.52 : 1,161.42 = 1,161.42 : x
  2. Step 2: Convert to fraction form
    723.52/1,161.42 = 1,161.42/x
  3. Step 3: Cross multiply
    723.52x = 1,161.42 × 1,161.42
  4. Step 4: Simplify right side
    723.52x = 1,348,900.77
  5. Step 5: Solve for x
    x = 1,348,900.77/723.52
  6. Step 6: Final answer
    x = 1,864.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.