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Finding the Third Proportional to 412,841.81 and 638,049.66

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Solution

The third proportional to 412,841.81 and 638,049.66 is: 986,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,841.81 : 638,049.66 = 638,049.66 : x
  2. Step 2: Convert to fraction form
    412,841.81/638,049.66 = 638,049.66/x
  3. Step 3: Cross multiply
    412,841.81x = 638,049.66 × 638,049.66
  4. Step 4: Simplify right side
    412,841.81x = 407,107,363,840.74
  5. Step 5: Solve for x
    x = 407,107,363,840.74/412,841.81
  6. Step 6: Final answer
    x = 986,109.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.