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Finding the Third Proportional to 382,866 and 563,241

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Solution

The third proportional to 382,866 and 563,241 is: 828,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,866 : 563,241 = 563,241 : x
  2. Step 2: Convert to fraction form
    382,866/563,241 = 563,241/x
  3. Step 3: Cross multiply
    382,866x = 563,241 × 563,241
  4. Step 4: Simplify right side
    382,866x = 317,240,424,081
  5. Step 5: Solve for x
    x = 317,240,424,081/382,866
  6. Step 6: Final answer
    x = 828,593.88

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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.