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Finding the Third Proportional to 224,587.69 and 486,523.13

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Solution

The third proportional to 224,587.69 and 486,523.13 is: 1,053,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,587.69 : 486,523.13 = 486,523.13 : x
  2. Step 2: Convert to fraction form
    224,587.69/486,523.13 = 486,523.13/x
  3. Step 3: Cross multiply
    224,587.69x = 486,523.13 × 486,523.13
  4. Step 4: Simplify right side
    224,587.69x = 236,704,751,159.77
  5. Step 5: Solve for x
    x = 236,704,751,159.77/224,587.69
  6. Step 6: Final answer
    x = 1,053,952.48

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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.