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Finding the Third Proportional to 394,760 and 931,262

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Solution

The third proportional to 394,760 and 931,262 is: 2,196,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,760 : 931,262 = 931,262 : x
  2. Step 2: Convert to fraction form
    394,760/931,262 = 931,262/x
  3. Step 3: Cross multiply
    394,760x = 931,262 × 931,262
  4. Step 4: Simplify right side
    394,760x = 867,248,912,644
  5. Step 5: Solve for x
    x = 867,248,912,644/394,760
  6. Step 6: Final answer
    x = 2,196,901.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.