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Finding the Third Proportional to 329,910 and 735,636

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Solution

The third proportional to 329,910 and 735,636 is: 1,640,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,910 : 735,636 = 735,636 : x
  2. Step 2: Convert to fraction form
    329,910/735,636 = 735,636/x
  3. Step 3: Cross multiply
    329,910x = 735,636 × 735,636
  4. Step 4: Simplify right side
    329,910x = 541,160,324,496
  5. Step 5: Solve for x
    x = 541,160,324,496/329,910
  6. Step 6: Final answer
    x = 1,640,327.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.