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Finding the Third Proportional to 467,101.69 and 762,727.22

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Solution

The third proportional to 467,101.69 and 762,727.22 is: 1,245,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,101.69 : 762,727.22 = 762,727.22 : x
  2. Step 2: Convert to fraction form
    467,101.69/762,727.22 = 762,727.22/x
  3. Step 3: Cross multiply
    467,101.69x = 762,727.22 × 762,727.22
  4. Step 4: Simplify right side
    467,101.69x = 581,752,810,222.11
  5. Step 5: Solve for x
    x = 581,752,810,222.11/467,101.69
  6. Step 6: Final answer
    x = 1,245,452.17

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.