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Finding the Third Proportional to 383,877 and 792,342

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Solution

The third proportional to 383,877 and 792,342 is: 1,635,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,877 : 792,342 = 792,342 : x
  2. Step 2: Convert to fraction form
    383,877/792,342 = 792,342/x
  3. Step 3: Cross multiply
    383,877x = 792,342 × 792,342
  4. Step 4: Simplify right side
    383,877x = 627,805,844,964
  5. Step 5: Solve for x
    x = 627,805,844,964/383,877
  6. Step 6: Final answer
    x = 1,635,434.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.