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Finding the Third Proportional to 350,662 and 766,934

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Solution

The third proportional to 350,662 and 766,934 is: 1,677,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,662 : 766,934 = 766,934 : x
  2. Step 2: Convert to fraction form
    350,662/766,934 = 766,934/x
  3. Step 3: Cross multiply
    350,662x = 766,934 × 766,934
  4. Step 4: Simplify right side
    350,662x = 588,187,760,356
  5. Step 5: Solve for x
    x = 588,187,760,356/350,662
  6. Step 6: Final answer
    x = 1,677,363.84

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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.