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Finding the Third Proportional to 240,849 and 496,276.50

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Solution

The third proportional to 240,849 and 496,276.50 is: 1,022,592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,849 : 496,276.50 = 496,276.50 : x
  2. Step 2: Convert to fraction form
    240,849/496,276.50 = 496,276.50/x
  3. Step 3: Cross multiply
    240,849x = 496,276.50 × 496,276.50
  4. Step 4: Simplify right side
    240,849x = 246,290,364,452.25
  5. Step 5: Solve for x
    x = 246,290,364,452.25/240,849
  6. Step 6: Final answer
    x = 1,022,592.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.