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Finding the Third Proportional to 217,531.69 and 467,196.47

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Solution

The third proportional to 217,531.69 and 467,196.47 is: 1,003,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,531.69 : 467,196.47 = 467,196.47 : x
  2. Step 2: Convert to fraction form
    217,531.69/467,196.47 = 467,196.47/x
  3. Step 3: Cross multiply
    217,531.69x = 467,196.47 × 467,196.47
  4. Step 4: Simplify right side
    217,531.69x = 218,272,540,412.47
  5. Step 5: Solve for x
    x = 218,272,540,412.47/217,531.69
  6. Step 6: Final answer
    x = 1,003,405.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.