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Finding the Third Proportional to 350,676 and 766,960

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Solution

The third proportional to 350,676 and 766,960 is: 1,677,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,676 : 766,960 = 766,960 : x
  2. Step 2: Convert to fraction form
    350,676/766,960 = 766,960/x
  3. Step 3: Cross multiply
    350,676x = 766,960 × 766,960
  4. Step 4: Simplify right side
    350,676x = 588,227,641,600
  5. Step 5: Solve for x
    x = 588,227,641,600/350,676
  6. Step 6: Final answer
    x = 1,677,410.61

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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.