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Finding the Third Proportional to 232,845 and 503,061

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Solution

The third proportional to 232,845 and 503,061 is: 1,086,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,845 : 503,061 = 503,061 : x
  2. Step 2: Convert to fraction form
    232,845/503,061 = 503,061/x
  3. Step 3: Cross multiply
    232,845x = 503,061 × 503,061
  4. Step 4: Simplify right side
    232,845x = 253,070,369,721
  5. Step 5: Solve for x
    x = 253,070,369,721/232,845
  6. Step 6: Final answer
    x = 1,086,861.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.