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Finding the Third Proportional to 377,694 and 811,524

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Solution

The third proportional to 377,694 and 811,524 is: 1,743,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,694 : 811,524 = 811,524 : x
  2. Step 2: Convert to fraction form
    377,694/811,524 = 811,524/x
  3. Step 3: Cross multiply
    377,694x = 811,524 × 811,524
  4. Step 4: Simplify right side
    377,694x = 658,571,202,576
  5. Step 5: Solve for x
    x = 658,571,202,576/377,694
  6. Step 6: Final answer
    x = 1,743,663.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.