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Finding the Third Proportional to 332,832 and 503,496

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Solution

The third proportional to 332,832 and 503,496 is: 761,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,832 : 503,496 = 503,496 : x
  2. Step 2: Convert to fraction form
    332,832/503,496 = 503,496/x
  3. Step 3: Cross multiply
    332,832x = 503,496 × 503,496
  4. Step 4: Simplify right side
    332,832x = 253,508,222,016
  5. Step 5: Solve for x
    x = 253,508,222,016/332,832
  6. Step 6: Final answer
    x = 761,670.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.