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Finding the Third Proportional to 379,035 and 817,114

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Solution

The third proportional to 379,035 and 817,114 is: 1,761,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,035 : 817,114 = 817,114 : x
  2. Step 2: Convert to fraction form
    379,035/817,114 = 817,114/x
  3. Step 3: Cross multiply
    379,035x = 817,114 × 817,114
  4. Step 4: Simplify right side
    379,035x = 667,675,288,996
  5. Step 5: Solve for x
    x = 667,675,288,996/379,035
  6. Step 6: Final answer
    x = 1,761,513.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.