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Finding the Third Proportional to 350,691 and 766,986

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Solution

The third proportional to 350,691 and 766,986 is: 1,677,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,691 : 766,986 = 766,986 : x
  2. Step 2: Convert to fraction form
    350,691/766,986 = 766,986/x
  3. Step 3: Cross multiply
    350,691x = 766,986 × 766,986
  4. Step 4: Simplify right side
    350,691x = 588,267,524,196
  5. Step 5: Solve for x
    x = 588,267,524,196/350,691
  6. Step 6: Final answer
    x = 1,677,452.58

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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.