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Finding the Third Proportional to 322,024 and 699,419

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Solution

The third proportional to 322,024 and 699,419 is: 1,519,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,024 : 699,419 = 699,419 : x
  2. Step 2: Convert to fraction form
    322,024/699,419 = 699,419/x
  3. Step 3: Cross multiply
    322,024x = 699,419 × 699,419
  4. Step 4: Simplify right side
    322,024x = 489,186,937,561
  5. Step 5: Solve for x
    x = 489,186,937,561/322,024
  6. Step 6: Final answer
    x = 1,519,100.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.