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Finding the Third Proportional to 381,171 and 561,195

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Solution

The third proportional to 381,171 and 561,195 is: 826,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,171 : 561,195 = 561,195 : x
  2. Step 2: Convert to fraction form
    381,171/561,195 = 561,195/x
  3. Step 3: Cross multiply
    381,171x = 561,195 × 561,195
  4. Step 4: Simplify right side
    381,171x = 314,939,828,025
  5. Step 5: Solve for x
    x = 314,939,828,025/381,171
  6. Step 6: Final answer
    x = 826,242.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.