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Finding the Third Proportional to 344,108 and 743,566

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Solution

The third proportional to 344,108 and 743,566 is: 1,606,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,108 : 743,566 = 743,566 : x
  2. Step 2: Convert to fraction form
    344,108/743,566 = 743,566/x
  3. Step 3: Cross multiply
    344,108x = 743,566 × 743,566
  4. Step 4: Simplify right side
    344,108x = 552,890,396,356
  5. Step 5: Solve for x
    x = 552,890,396,356/344,108
  6. Step 6: Final answer
    x = 1,606,735.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.