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Finding the Third Proportional to 451,571 and 699,588

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Solution

The third proportional to 451,571 and 699,588 is: 1,083,823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,571 : 699,588 = 699,588 : x
  2. Step 2: Convert to fraction form
    451,571/699,588 = 699,588/x
  3. Step 3: Cross multiply
    451,571x = 699,588 × 699,588
  4. Step 4: Simplify right side
    451,571x = 489,423,369,744
  5. Step 5: Solve for x
    x = 489,423,369,744/451,571
  6. Step 6: Final answer
    x = 1,083,823.74

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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.