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Finding the Third Proportional to 361,921 and 756,834

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Solution

The third proportional to 361,921 and 756,834 is: 1,582,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,921 : 756,834 = 756,834 : x
  2. Step 2: Convert to fraction form
    361,921/756,834 = 756,834/x
  3. Step 3: Cross multiply
    361,921x = 756,834 × 756,834
  4. Step 4: Simplify right side
    361,921x = 572,797,703,556
  5. Step 5: Solve for x
    x = 572,797,703,556/361,921
  6. Step 6: Final answer
    x = 1,582,659.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.