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Finding the Third Proportional to 381,608 and 560,748

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Solution

The third proportional to 381,608 and 560,748 is: 823,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,608 : 560,748 = 560,748 : x
  2. Step 2: Convert to fraction form
    381,608/560,748 = 560,748/x
  3. Step 3: Cross multiply
    381,608x = 560,748 × 560,748
  4. Step 4: Simplify right side
    381,608x = 314,438,319,504
  5. Step 5: Solve for x
    x = 314,438,319,504/381,608
  6. Step 6: Final answer
    x = 823,982.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.