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Finding the Third Proportional to 627,327 and 996,941

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Solution

The third proportional to 627,327 and 996,941 is: 1,584,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,327 : 996,941 = 996,941 : x
  2. Step 2: Convert to fraction form
    627,327/996,941 = 996,941/x
  3. Step 3: Cross multiply
    627,327x = 996,941 × 996,941
  4. Step 4: Simplify right side
    627,327x = 993,891,357,481
  5. Step 5: Solve for x
    x = 993,891,357,481/627,327
  6. Step 6: Final answer
    x = 1,584,327.40

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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.