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Finding the Third Proportional to 381,005 and 814,497.50

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Solution

The third proportional to 381,005 and 814,497.50 is: 1,741,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,005 : 814,497.50 = 814,497.50 : x
  2. Step 2: Convert to fraction form
    381,005/814,497.50 = 814,497.50/x
  3. Step 3: Cross multiply
    381,005x = 814,497.50 × 814,497.50
  4. Step 4: Simplify right side
    381,005x = 663,406,177,506.25
  5. Step 5: Solve for x
    x = 663,406,177,506.25/381,005
  6. Step 6: Final answer
    x = 1,741,200.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.