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Finding the Third Proportional to 377,706.75 and 772,866

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Solution

The third proportional to 377,706.75 and 772,866 is: 1,581,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,706.75 : 772,866 = 772,866 : x
  2. Step 2: Convert to fraction form
    377,706.75/772,866 = 772,866/x
  3. Step 3: Cross multiply
    377,706.75x = 772,866 × 772,866
  4. Step 4: Simplify right side
    377,706.75x = 597,321,853,956
  5. Step 5: Solve for x
    x = 597,321,853,956/377,706.75
  6. Step 6: Final answer
    x = 1,581,443.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.