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Finding the Third Proportional to 296,577 and 699,812

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Solution

The third proportional to 296,577 and 699,812 is: 1,651,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,577 : 699,812 = 699,812 : x
  2. Step 2: Convert to fraction form
    296,577/699,812 = 699,812/x
  3. Step 3: Cross multiply
    296,577x = 699,812 × 699,812
  4. Step 4: Simplify right side
    296,577x = 489,736,835,344
  5. Step 5: Solve for x
    x = 489,736,835,344/296,577
  6. Step 6: Final answer
    x = 1,651,297.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.