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Finding the Third Proportional to 357.19 and 724.31

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Solution

The third proportional to 357.19 and 724.31 is: 1,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.19 : 724.31 = 724.31 : x
  2. Step 2: Convert to fraction form
    357.19/724.31 = 724.31/x
  3. Step 3: Cross multiply
    357.19x = 724.31 × 724.31
  4. Step 4: Simplify right side
    357.19x = 524,628.60
  5. Step 5: Solve for x
    x = 524,628.60/357.19
  6. Step 6: Final answer
    x = 1,468.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.