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Finding the Third Proportional to 394,972 and 864,950

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Solution

The third proportional to 394,972 and 864,950 is: 1,894,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,972 : 864,950 = 864,950 : x
  2. Step 2: Convert to fraction form
    394,972/864,950 = 864,950/x
  3. Step 3: Cross multiply
    394,972x = 864,950 × 864,950
  4. Step 4: Simplify right side
    394,972x = 748,138,502,500
  5. Step 5: Solve for x
    x = 748,138,502,500/394,972
  6. Step 6: Final answer
    x = 1,894,155.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.