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Finding the Third Proportional to 224,614.69 and 486,575.44

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Solution

The third proportional to 224,614.69 and 486,575.44 is: 1,054,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,614.69 : 486,575.44 = 486,575.44 : x
  2. Step 2: Convert to fraction form
    224,614.69/486,575.44 = 486,575.44/x
  3. Step 3: Cross multiply
    224,614.69x = 486,575.44 × 486,575.44
  4. Step 4: Simplify right side
    224,614.69x = 236,755,656,378.32
  5. Step 5: Solve for x
    x = 236,755,656,378.32/224,614.69
  6. Step 6: Final answer
    x = 1,054,052.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.