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Finding the Third Proportional to 240,864 and 496,306.50

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Solution

The third proportional to 240,864 and 496,306.50 is: 1,022,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,864 : 496,306.50 = 496,306.50 : x
  2. Step 2: Convert to fraction form
    240,864/496,306.50 = 496,306.50/x
  3. Step 3: Cross multiply
    240,864x = 496,306.50 × 496,306.50
  4. Step 4: Simplify right side
    240,864x = 246,320,141,942.25
  5. Step 5: Solve for x
    x = 246,320,141,942.25/240,864
  6. Step 6: Final answer
    x = 1,022,652.38

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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.