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Finding the Third Proportional to 394,377 and 863,385

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Solution

The third proportional to 394,377 and 863,385 is: 1,890,155.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,377 : 863,385 = 863,385 : x
  2. Step 2: Convert to fraction form
    394,377/863,385 = 863,385/x
  3. Step 3: Cross multiply
    394,377x = 863,385 × 863,385
  4. Step 4: Simplify right side
    394,377x = 745,433,658,225
  5. Step 5: Solve for x
    x = 745,433,658,225/394,377
  6. Step 6: Final answer
    x = 1,890,155.00

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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.