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Finding the Third Proportional to 349,976 and 749,521

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Solution

The third proportional to 349,976 and 749,521 is: 1,605,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,976 : 749,521 = 749,521 : x
  2. Step 2: Convert to fraction form
    349,976/749,521 = 749,521/x
  3. Step 3: Cross multiply
    349,976x = 749,521 × 749,521
  4. Step 4: Simplify right side
    349,976x = 561,781,729,441
  5. Step 5: Solve for x
    x = 561,781,729,441/349,976
  6. Step 6: Final answer
    x = 1,605,200.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.