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Finding the Third Proportional to 349,566 and 765,825

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Solution

The third proportional to 349,566 and 765,825 is: 1,677,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,566 : 765,825 = 765,825 : x
  2. Step 2: Convert to fraction form
    349,566/765,825 = 765,825/x
  3. Step 3: Cross multiply
    349,566x = 765,825 × 765,825
  4. Step 4: Simplify right side
    349,566x = 586,487,930,625
  5. Step 5: Solve for x
    x = 586,487,930,625/349,566
  6. Step 6: Final answer
    x = 1,677,760.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.