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Finding the Third Proportional to 296,060 and 698,425

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Solution

The third proportional to 296,060 and 698,425 is: 1,647,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,060 : 698,425 = 698,425 : x
  2. Step 2: Convert to fraction form
    296,060/698,425 = 698,425/x
  3. Step 3: Cross multiply
    296,060x = 698,425 × 698,425
  4. Step 4: Simplify right side
    296,060x = 487,797,480,625
  5. Step 5: Solve for x
    x = 487,797,480,625/296,060
  6. Step 6: Final answer
    x = 1,647,630.48

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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.