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Finding the Third Proportional to 381,382 and 517,959

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Solution

The third proportional to 381,382 and 517,959 is: 703,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,382 : 517,959 = 517,959 : x
  2. Step 2: Convert to fraction form
    381,382/517,959 = 517,959/x
  3. Step 3: Cross multiply
    381,382x = 517,959 × 517,959
  4. Step 4: Simplify right side
    381,382x = 268,281,525,681
  5. Step 5: Solve for x
    x = 268,281,525,681/381,382
  6. Step 6: Final answer
    x = 703,445.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.