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Finding the Third Proportional to 394,893 and 627,714

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Solution

The third proportional to 394,893 and 627,714 is: 997,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,893 : 627,714 = 627,714 : x
  2. Step 2: Convert to fraction form
    394,893/627,714 = 627,714/x
  3. Step 3: Cross multiply
    394,893x = 627,714 × 627,714
  4. Step 4: Simplify right side
    394,893x = 394,024,865,796
  5. Step 5: Solve for x
    x = 394,024,865,796/394,893
  6. Step 6: Final answer
    x = 997,801.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.