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Finding the Third Proportional to 274,112.44 and 411,168.66

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Solution

The third proportional to 274,112.44 and 411,168.66 is: 616,752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,112.44 : 411,168.66 = 411,168.66 : x
  2. Step 2: Convert to fraction form
    274,112.44/411,168.66 = 411,168.66/x
  3. Step 3: Cross multiply
    274,112.44x = 411,168.66 × 411,168.66
  4. Step 4: Simplify right side
    274,112.44x = 169,059,663,882.43
  5. Step 5: Solve for x
    x = 169,059,663,882.43/274,112.44
  6. Step 6: Final answer
    x = 616,752.98

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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.