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Finding the Third Proportional to 350,329 and 766,092

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Solution

The third proportional to 350,329 and 766,092 is: 1,675,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,329 : 766,092 = 766,092 : x
  2. Step 2: Convert to fraction form
    350,329/766,092 = 766,092/x
  3. Step 3: Cross multiply
    350,329x = 766,092 × 766,092
  4. Step 4: Simplify right side
    350,329x = 586,896,952,464
  5. Step 5: Solve for x
    x = 586,896,952,464/350,329
  6. Step 6: Final answer
    x = 1,675,273.68

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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.