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Finding the Third Proportional to 272,042.25 and 422,659.50

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Solution

The third proportional to 272,042.25 and 422,659.50 is: 656,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,042.25 : 422,659.50 = 422,659.50 : x
  2. Step 2: Convert to fraction form
    272,042.25/422,659.50 = 422,659.50/x
  3. Step 3: Cross multiply
    272,042.25x = 422,659.50 × 422,659.50
  4. Step 4: Simplify right side
    272,042.25x = 178,641,052,940.25
  5. Step 5: Solve for x
    x = 178,641,052,940.25/272,042.25
  6. Step 6: Final answer
    x = 656,666.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.