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Finding the Third Proportional to 329,907 and 735,630

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Solution

The third proportional to 329,907 and 735,630 is: 1,640,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,907 : 735,630 = 735,630 : x
  2. Step 2: Convert to fraction form
    329,907/735,630 = 735,630/x
  3. Step 3: Cross multiply
    329,907x = 735,630 × 735,630
  4. Step 4: Simplify right side
    329,907x = 541,151,496,900
  5. Step 5: Solve for x
    x = 541,151,496,900/329,907
  6. Step 6: Final answer
    x = 1,640,315.29

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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.