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Finding the Third Proportional to 343,686 and 754,616

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Solution

The third proportional to 343,686 and 754,616 is: 1,656,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,686 : 754,616 = 754,616 : x
  2. Step 2: Convert to fraction form
    343,686/754,616 = 754,616/x
  3. Step 3: Cross multiply
    343,686x = 754,616 × 754,616
  4. Step 4: Simplify right side
    343,686x = 569,445,307,456
  5. Step 5: Solve for x
    x = 569,445,307,456/343,686
  6. Step 6: Final answer
    x = 1,656,876.65

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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.