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Finding the Third Proportional to 376,981 and 813,006

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Solution

The third proportional to 376,981 and 813,006 is: 1,753,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,981 : 813,006 = 813,006 : x
  2. Step 2: Convert to fraction form
    376,981/813,006 = 813,006/x
  3. Step 3: Cross multiply
    376,981x = 813,006 × 813,006
  4. Step 4: Simplify right side
    376,981x = 660,978,756,036
  5. Step 5: Solve for x
    x = 660,978,756,036/376,981
  6. Step 6: Final answer
    x = 1,753,347.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.