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Finding the Third Proportional to 343,692 and 754,626

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Solution

The third proportional to 343,692 and 754,626 is: 1,656,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,692 : 754,626 = 754,626 : x
  2. Step 2: Convert to fraction form
    343,692/754,626 = 754,626/x
  3. Step 3: Cross multiply
    343,692x = 754,626 × 754,626
  4. Step 4: Simplify right side
    343,692x = 569,460,399,876
  5. Step 5: Solve for x
    x = 569,460,399,876/343,692
  6. Step 6: Final answer
    x = 1,656,891.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.