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Finding the Third Proportional to 329,876 and 735,304

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Solution

The third proportional to 329,876 and 735,304 is: 1,639,015.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,876 : 735,304 = 735,304 : x
  2. Step 2: Convert to fraction form
    329,876/735,304 = 735,304/x
  3. Step 3: Cross multiply
    329,876x = 735,304 × 735,304
  4. Step 4: Simplify right side
    329,876x = 540,671,972,416
  5. Step 5: Solve for x
    x = 540,671,972,416/329,876
  6. Step 6: Final answer
    x = 1,639,015.79

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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.