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Finding the Third Proportional to 350,675 and 766,956

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Solution

The third proportional to 350,675 and 766,956 is: 1,677,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,675 : 766,956 = 766,956 : x
  2. Step 2: Convert to fraction form
    350,675/766,956 = 766,956/x
  3. Step 3: Cross multiply
    350,675x = 766,956 × 766,956
  4. Step 4: Simplify right side
    350,675x = 588,221,505,936
  5. Step 5: Solve for x
    x = 588,221,505,936/350,675
  6. Step 6: Final answer
    x = 1,677,397.89

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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.