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Finding the Third Proportional to 276,920 and 600,496

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Solution

The third proportional to 276,920 and 600,496 is: 1,302,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,920 : 600,496 = 600,496 : x
  2. Step 2: Convert to fraction form
    276,920/600,496 = 600,496/x
  3. Step 3: Cross multiply
    276,920x = 600,496 × 600,496
  4. Step 4: Simplify right side
    276,920x = 360,595,446,016
  5. Step 5: Solve for x
    x = 360,595,446,016/276,920
  6. Step 6: Final answer
    x = 1,302,164.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.