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Finding the Third Proportional to 335.13 and 493.56

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Solution

The third proportional to 335.13 and 493.56 is: 726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.13 : 493.56 = 493.56 : x
  2. Step 2: Convert to fraction form
    335.13/493.56 = 493.56/x
  3. Step 3: Cross multiply
    335.13x = 493.56 × 493.56
  4. Step 4: Simplify right side
    335.13x = 243,603.94
  5. Step 5: Solve for x
    x = 243,603.94/335.13
  6. Step 6: Final answer
    x = 726.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.