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Finding the Third Proportional to 343,422 and 744,012

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Solution

The third proportional to 343,422 and 744,012 is: 1,611,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,422 : 744,012 = 744,012 : x
  2. Step 2: Convert to fraction form
    343,422/744,012 = 744,012/x
  3. Step 3: Cross multiply
    343,422x = 744,012 × 744,012
  4. Step 4: Simplify right side
    343,422x = 553,553,856,144
  5. Step 5: Solve for x
    x = 553,553,856,144/343,422
  6. Step 6: Final answer
    x = 1,611,876.51

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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.