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Finding the Third Proportional to 337.63 and 726.13

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Solution

The third proportional to 337.63 and 726.13 is: 1,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.63 : 726.13 = 726.13 : x
  2. Step 2: Convert to fraction form
    337.63/726.13 = 726.13/x
  3. Step 3: Cross multiply
    337.63x = 726.13 × 726.13
  4. Step 4: Simplify right side
    337.63x = 527,257.52
  5. Step 5: Solve for x
    x = 527,257.52/337.63
  6. Step 6: Final answer
    x = 1,561.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.