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Finding the Third Proportional to 342,966 and 743,172

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Solution

The third proportional to 342,966 and 743,172 is: 1,610,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,966 : 743,172 = 743,172 : x
  2. Step 2: Convert to fraction form
    342,966/743,172 = 743,172/x
  3. Step 3: Cross multiply
    342,966x = 743,172 × 743,172
  4. Step 4: Simplify right side
    342,966x = 552,304,621,584
  5. Step 5: Solve for x
    x = 552,304,621,584/342,966
  6. Step 6: Final answer
    x = 1,610,377.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.