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Finding the Third Proportional to 440,184.38 and 699,672.94

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Solution

The third proportional to 440,184.38 and 699,672.94 is: 1,112,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,184.38 : 699,672.94 = 699,672.94 : x
  2. Step 2: Convert to fraction form
    440,184.38/699,672.94 = 699,672.94/x
  3. Step 3: Cross multiply
    440,184.38x = 699,672.94 × 699,672.94
  4. Step 4: Simplify right side
    440,184.38x = 489,542,219,469.88
  5. Step 5: Solve for x
    x = 489,542,219,469.88/440,184.38
  6. Step 6: Final answer
    x = 1,112,129.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.