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Finding the Third Proportional to 267,947 and 426,521

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Solution

The third proportional to 267,947 and 426,521 is: 678,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,947 : 426,521 = 426,521 : x
  2. Step 2: Convert to fraction form
    267,947/426,521 = 426,521/x
  3. Step 3: Cross multiply
    267,947x = 426,521 × 426,521
  4. Step 4: Simplify right side
    267,947x = 181,920,163,441
  5. Step 5: Solve for x
    x = 181,920,163,441/267,947
  6. Step 6: Final answer
    x = 678,940.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.