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Finding the Third Proportional to 541,635.75 and 838,219.25

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Solution

The third proportional to 541,635.75 and 838,219.25 is: 1,297,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,635.75 : 838,219.25 = 838,219.25 : x
  2. Step 2: Convert to fraction form
    541,635.75/838,219.25 = 838,219.25/x
  3. Step 3: Cross multiply
    541,635.75x = 838,219.25 × 838,219.25
  4. Step 4: Simplify right side
    541,635.75x = 702,611,511,070.56
  5. Step 5: Solve for x
    x = 702,611,511,070.56/541,635.75
  6. Step 6: Final answer
    x = 1,297,202.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.