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Finding the Third Proportional to 232,956 and 496,416

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Solution

The third proportional to 232,956 and 496,416 is: 1,057,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,956 : 496,416 = 496,416 : x
  2. Step 2: Convert to fraction form
    232,956/496,416 = 496,416/x
  3. Step 3: Cross multiply
    232,956x = 496,416 × 496,416
  4. Step 4: Simplify right side
    232,956x = 246,428,845,056
  5. Step 5: Solve for x
    x = 246,428,845,056/232,956
  6. Step 6: Final answer
    x = 1,057,834.29

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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.