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Finding the Third Proportional to 451,574 and 699,593

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Solution

The third proportional to 451,574 and 699,593 is: 1,083,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,574 : 699,593 = 699,593 : x
  2. Step 2: Convert to fraction form
    451,574/699,593 = 699,593/x
  3. Step 3: Cross multiply
    451,574x = 699,593 × 699,593
  4. Step 4: Simplify right side
    451,574x = 489,430,365,649
  5. Step 5: Solve for x
    x = 489,430,365,649/451,574
  6. Step 6: Final answer
    x = 1,083,832.03

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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.