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Finding the Third Proportional to 451,566 and 699,582

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Solution

The third proportional to 451,566 and 699,582 is: 1,083,817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,566 : 699,582 = 699,582 : x
  2. Step 2: Convert to fraction form
    451,566/699,582 = 699,582/x
  3. Step 3: Cross multiply
    451,566x = 699,582 × 699,582
  4. Step 4: Simplify right side
    451,566x = 489,414,974,724
  5. Step 5: Solve for x
    x = 489,414,974,724/451,566
  6. Step 6: Final answer
    x = 1,083,817.15

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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.