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Finding the Third Proportional to 240,549 and 366,494

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Solution

The third proportional to 240,549 and 366,494 is: 558,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,549 : 366,494 = 366,494 : x
  2. Step 2: Convert to fraction form
    240,549/366,494 = 366,494/x
  3. Step 3: Cross multiply
    240,549x = 366,494 × 366,494
  4. Step 4: Simplify right side
    240,549x = 134,317,852,036
  5. Step 5: Solve for x
    x = 134,317,852,036/240,549
  6. Step 6: Final answer
    x = 558,380.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.