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Finding the Third Proportional to 414,031.50 and 561,381.75

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Solution

The third proportional to 414,031.50 and 561,381.75 is: 761,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,031.50 : 561,381.75 = 561,381.75 : x
  2. Step 2: Convert to fraction form
    414,031.50/561,381.75 = 561,381.75/x
  3. Step 3: Cross multiply
    414,031.50x = 561,381.75 × 561,381.75
  4. Step 4: Simplify right side
    414,031.50x = 315,149,469,233.06
  5. Step 5: Solve for x
    x = 315,149,469,233.06/414,031.50
  6. Step 6: Final answer
    x = 761,172.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.