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Finding the Third Proportional to 274,128.75 and 411,194.25

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Solution

The third proportional to 274,128.75 and 411,194.25 is: 616,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,128.75 : 411,194.25 = 411,194.25 : x
  2. Step 2: Convert to fraction form
    274,128.75/411,194.25 = 411,194.25/x
  3. Step 3: Cross multiply
    274,128.75x = 411,194.25 × 411,194.25
  4. Step 4: Simplify right side
    274,128.75x = 169,080,711,233.06
  5. Step 5: Solve for x
    x = 169,080,711,233.06/274,128.75
  6. Step 6: Final answer
    x = 616,793.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.