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Finding the Third Proportional to 203,961.24 and 435,947.70

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Solution

The third proportional to 203,961.24 and 435,947.70 is: 931,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,961.24 : 435,947.70 = 435,947.70 : x
  2. Step 2: Convert to fraction form
    203,961.24/435,947.70 = 435,947.70/x
  3. Step 3: Cross multiply
    203,961.24x = 435,947.70 × 435,947.70
  4. Step 4: Simplify right side
    203,961.24x = 190,050,393,048.28
  5. Step 5: Solve for x
    x = 190,050,393,048.28/203,961.24
  6. Step 6: Final answer
    x = 931,796.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.