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Finding the Third Proportional to 332.44 and 723.05

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Solution

The third proportional to 332.44 and 723.05 is: 1,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.44 : 723.05 = 723.05 : x
  2. Step 2: Convert to fraction form
    332.44/723.05 = 723.05/x
  3. Step 3: Cross multiply
    332.44x = 723.05 × 723.05
  4. Step 4: Simplify right side
    332.44x = 522,796.78
  5. Step 5: Solve for x
    x = 522,796.78/332.44
  6. Step 6: Final answer
    x = 1,572.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.