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Finding the Third Proportional to 234,850.50 and 523,488.50

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Solution

The third proportional to 234,850.50 and 523,488.50 is: 1,166,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,850.50 : 523,488.50 = 523,488.50 : x
  2. Step 2: Convert to fraction form
    234,850.50/523,488.50 = 523,488.50/x
  3. Step 3: Cross multiply
    234,850.50x = 523,488.50 × 523,488.50
  4. Step 4: Simplify right side
    234,850.50x = 274,040,209,632.25
  5. Step 5: Solve for x
    x = 274,040,209,632.25/234,850.50
  6. Step 6: Final answer
    x = 1,166,870.88

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.