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Finding the Third Proportional to 350,098 and 844,060

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Solution

The third proportional to 350,098 and 844,060 is: 2,034,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,098 : 844,060 = 844,060 : x
  2. Step 2: Convert to fraction form
    350,098/844,060 = 844,060/x
  3. Step 3: Cross multiply
    350,098x = 844,060 × 844,060
  4. Step 4: Simplify right side
    350,098x = 712,437,283,600
  5. Step 5: Solve for x
    x = 712,437,283,600/350,098
  6. Step 6: Final answer
    x = 2,034,965.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.