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Finding the Third Proportional to 345,132 and 741,494

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Solution

The third proportional to 345,132 and 741,494 is: 1,593,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,132 : 741,494 = 741,494 : x
  2. Step 2: Convert to fraction form
    345,132/741,494 = 741,494/x
  3. Step 3: Cross multiply
    345,132x = 741,494 × 741,494
  4. Step 4: Simplify right side
    345,132x = 549,813,352,036
  5. Step 5: Solve for x
    x = 549,813,352,036/345,132
  6. Step 6: Final answer
    x = 1,593,052.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.