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Finding the Third Proportional to 381,476 and 560,526

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Solution

The third proportional to 381,476 and 560,526 is: 823,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,476 : 560,526 = 560,526 : x
  2. Step 2: Convert to fraction form
    381,476/560,526 = 560,526/x
  3. Step 3: Cross multiply
    381,476x = 560,526 × 560,526
  4. Step 4: Simplify right side
    381,476x = 314,189,396,676
  5. Step 5: Solve for x
    x = 314,189,396,676/381,476
  6. Step 6: Final answer
    x = 823,615.11

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Why These Related Problems?

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