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Finding the Third Proportional to 325,446 and 503,872

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Solution

The third proportional to 325,446 and 503,872 is: 780,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,446 : 503,872 = 503,872 : x
  2. Step 2: Convert to fraction form
    325,446/503,872 = 503,872/x
  3. Step 3: Cross multiply
    325,446x = 503,872 × 503,872
  4. Step 4: Simplify right side
    325,446x = 253,886,992,384
  5. Step 5: Solve for x
    x = 253,886,992,384/325,446
  6. Step 6: Final answer
    x = 780,120.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.