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Finding the Third Proportional to 344,217 and 749,675

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Solution

The third proportional to 344,217 and 749,675 is: 1,632,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,217 : 749,675 = 749,675 : x
  2. Step 2: Convert to fraction form
    344,217/749,675 = 749,675/x
  3. Step 3: Cross multiply
    344,217x = 749,675 × 749,675
  4. Step 4: Simplify right side
    344,217x = 562,012,605,625
  5. Step 5: Solve for x
    x = 562,012,605,625/344,217
  6. Step 6: Final answer
    x = 1,632,727.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.