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Finding the Third Proportional to 641,783 and 997,775

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Solution

The third proportional to 641,783 and 997,775 is: 1,551,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,783 : 997,775 = 997,775 : x
  2. Step 2: Convert to fraction form
    641,783/997,775 = 997,775/x
  3. Step 3: Cross multiply
    641,783x = 997,775 × 997,775
  4. Step 4: Simplify right side
    641,783x = 995,554,950,625
  5. Step 5: Solve for x
    x = 995,554,950,625/641,783
  6. Step 6: Final answer
    x = 1,551,232.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.