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Finding the Third Proportional to 232,958 and 496,420

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Solution

The third proportional to 232,958 and 496,420 is: 1,057,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,958 : 496,420 = 496,420 : x
  2. Step 2: Convert to fraction form
    232,958/496,420 = 496,420/x
  3. Step 3: Cross multiply
    232,958x = 496,420 × 496,420
  4. Step 4: Simplify right side
    232,958x = 246,432,816,400
  5. Step 5: Solve for x
    x = 246,432,816,400/232,958
  6. Step 6: Final answer
    x = 1,057,842.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.