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Finding the Third Proportional to 350,340 and 766,107

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Solution

The third proportional to 350,340 and 766,107 is: 1,675,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,340 : 766,107 = 766,107 : x
  2. Step 2: Convert to fraction form
    350,340/766,107 = 766,107/x
  3. Step 3: Cross multiply
    350,340x = 766,107 × 766,107
  4. Step 4: Simplify right side
    350,340x = 586,919,935,449
  5. Step 5: Solve for x
    x = 586,919,935,449/350,340
  6. Step 6: Final answer
    x = 1,675,286.68

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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.