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Finding the Third Proportional to 517,809 and 699,591

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Solution

The third proportional to 517,809 and 699,591 is: 945,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,809 : 699,591 = 699,591 : x
  2. Step 2: Convert to fraction form
    517,809/699,591 = 699,591/x
  3. Step 3: Cross multiply
    517,809x = 699,591 × 699,591
  4. Step 4: Simplify right side
    517,809x = 489,427,567,281
  5. Step 5: Solve for x
    x = 489,427,567,281/517,809
  6. Step 6: Final answer
    x = 945,189.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.