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Finding the Third Proportional to 279,601 and 598,384

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Solution

The third proportional to 279,601 and 598,384 is: 1,280,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,601 : 598,384 = 598,384 : x
  2. Step 2: Convert to fraction form
    279,601/598,384 = 598,384/x
  3. Step 3: Cross multiply
    279,601x = 598,384 × 598,384
  4. Step 4: Simplify right side
    279,601x = 358,063,411,456
  5. Step 5: Solve for x
    x = 358,063,411,456/279,601
  6. Step 6: Final answer
    x = 1,280,622.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.