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Finding the Third Proportional to 279,614 and 608,380

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Solution

The third proportional to 279,614 and 608,380 is: 1,323,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,614 : 608,380 = 608,380 : x
  2. Step 2: Convert to fraction form
    279,614/608,380 = 608,380/x
  3. Step 3: Cross multiply
    279,614x = 608,380 × 608,380
  4. Step 4: Simplify right side
    279,614x = 370,126,224,400
  5. Step 5: Solve for x
    x = 370,126,224,400/279,614
  6. Step 6: Final answer
    x = 1,323,704.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.