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Finding the Third Proportional to 391,465.50 and 834,204

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Solution

The third proportional to 391,465.50 and 834,204 is: 1,777,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,465.50 : 834,204 = 834,204 : x
  2. Step 2: Convert to fraction form
    391,465.50/834,204 = 834,204/x
  3. Step 3: Cross multiply
    391,465.50x = 834,204 × 834,204
  4. Step 4: Simplify right side
    391,465.50x = 695,896,313,616
  5. Step 5: Solve for x
    x = 695,896,313,616/391,465.50
  6. Step 6: Final answer
    x = 1,777,669.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.