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Finding the Third Proportional to 352,806 and 769,062

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Solution

The third proportional to 352,806 and 769,062 is: 1,676,435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,806 : 769,062 = 769,062 : x
  2. Step 2: Convert to fraction form
    352,806/769,062 = 769,062/x
  3. Step 3: Cross multiply
    352,806x = 769,062 × 769,062
  4. Step 4: Simplify right side
    352,806x = 591,456,359,844
  5. Step 5: Solve for x
    x = 591,456,359,844/352,806
  6. Step 6: Final answer
    x = 1,676,435.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.