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Finding the Third Proportional to 329,487.75 and 685,219.50

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Solution

The third proportional to 329,487.75 and 685,219.50 is: 1,425,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,487.75 : 685,219.50 = 685,219.50 : x
  2. Step 2: Convert to fraction form
    329,487.75/685,219.50 = 685,219.50/x
  3. Step 3: Cross multiply
    329,487.75x = 685,219.50 × 685,219.50
  4. Step 4: Simplify right side
    329,487.75x = 469,525,763,180.25
  5. Step 5: Solve for x
    x = 469,525,763,180.25/329,487.75
  6. Step 6: Final answer
    x = 1,425,017.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.