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Finding the Third Proportional to 329,926.50 and 664,969.50

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Solution

The third proportional to 329,926.50 and 664,969.50 is: 1,340,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,926.50 : 664,969.50 = 664,969.50 : x
  2. Step 2: Convert to fraction form
    329,926.50/664,969.50 = 664,969.50/x
  3. Step 3: Cross multiply
    329,926.50x = 664,969.50 × 664,969.50
  4. Step 4: Simplify right side
    329,926.50x = 442,184,435,930.25
  5. Step 5: Solve for x
    x = 442,184,435,930.25/329,926.50
  6. Step 6: Final answer
    x = 1,340,251.35

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.