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Finding the Third Proportional to 381,267 and 669,708

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Solution

The third proportional to 381,267 and 669,708 is: 1,176,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,267 : 669,708 = 669,708 : x
  2. Step 2: Convert to fraction form
    381,267/669,708 = 669,708/x
  3. Step 3: Cross multiply
    381,267x = 669,708 × 669,708
  4. Step 4: Simplify right side
    381,267x = 448,508,805,264
  5. Step 5: Solve for x
    x = 448,508,805,264/381,267
  6. Step 6: Final answer
    x = 1,176,364.08

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.