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Finding the Third Proportional to 340,381.13 and 451,518.75

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Solution

The third proportional to 340,381.13 and 451,518.75 is: 598,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,381.13 : 451,518.75 = 451,518.75 : x
  2. Step 2: Convert to fraction form
    340,381.13/451,518.75 = 451,518.75/x
  3. Step 3: Cross multiply
    340,381.13x = 451,518.75 × 451,518.75
  4. Step 4: Simplify right side
    340,381.13x = 203,869,181,601.56
  5. Step 5: Solve for x
    x = 203,869,181,601.56/340,381.13
  6. Step 6: Final answer
    x = 598,943.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.