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Finding the Third Proportional to 232,930 and 496,364

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Solution

The third proportional to 232,930 and 496,364 is: 1,057,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,930 : 496,364 = 496,364 : x
  2. Step 2: Convert to fraction form
    232,930/496,364 = 496,364/x
  3. Step 3: Cross multiply
    232,930x = 496,364 × 496,364
  4. Step 4: Simplify right side
    232,930x = 246,377,220,496
  5. Step 5: Solve for x
    x = 246,377,220,496/232,930
  6. Step 6: Final answer
    x = 1,057,730.74

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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.