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Finding the Third Proportional to 275,086.13 and 411,039.56

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Solution

The third proportional to 275,086.13 and 411,039.56 is: 614,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,086.13 : 411,039.56 = 411,039.56 : x
  2. Step 2: Convert to fraction form
    275,086.13/411,039.56 = 411,039.56/x
  3. Step 3: Cross multiply
    275,086.13x = 411,039.56 × 411,039.56
  4. Step 4: Simplify right side
    275,086.13x = 168,953,521,940.19
  5. Step 5: Solve for x
    x = 168,953,521,940.19/275,086.13
  6. Step 6: Final answer
    x = 614,184.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.