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Finding the Third Proportional to 201,343.50 and 441,437.63

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Solution

The third proportional to 201,343.50 and 441,437.63 is: 967,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,343.50 : 441,437.63 = 441,437.63 : x
  2. Step 2: Convert to fraction form
    201,343.50/441,437.63 = 441,437.63/x
  3. Step 3: Cross multiply
    201,343.50x = 441,437.63 × 441,437.63
  4. Step 4: Simplify right side
    201,343.50x = 194,867,176,765.64
  5. Step 5: Solve for x
    x = 194,867,176,765.64/201,343.50
  6. Step 6: Final answer
    x = 967,834.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.