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Finding the Third Proportional to 381,056 and 560,568

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Solution

The third proportional to 381,056 and 560,568 is: 824,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,056 : 560,568 = 560,568 : x
  2. Step 2: Convert to fraction form
    381,056/560,568 = 560,568/x
  3. Step 3: Cross multiply
    381,056x = 560,568 × 560,568
  4. Step 4: Simplify right side
    381,056x = 314,236,482,624
  5. Step 5: Solve for x
    x = 314,236,482,624/381,056
  6. Step 6: Final answer
    x = 824,646.46

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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.