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Finding the Third Proportional to 272,458.69 and 420,184.97

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Solution

The third proportional to 272,458.69 and 420,184.97 is: 648,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,458.69 : 420,184.97 = 420,184.97 : x
  2. Step 2: Convert to fraction form
    272,458.69/420,184.97 = 420,184.97/x
  3. Step 3: Cross multiply
    272,458.69x = 420,184.97 × 420,184.97
  4. Step 4: Simplify right side
    272,458.69x = 176,555,407,963.44
  5. Step 5: Solve for x
    x = 176,555,407,963.44/272,458.69
  6. Step 6: Final answer
    x = 648,008.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.