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Finding the Third Proportional to 223,375.50 and 486,895.50

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Solution

The third proportional to 223,375.50 and 486,895.50 is: 1,061,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,375.50 : 486,895.50 = 486,895.50 : x
  2. Step 2: Convert to fraction form
    223,375.50/486,895.50 = 486,895.50/x
  3. Step 3: Cross multiply
    223,375.50x = 486,895.50 × 486,895.50
  4. Step 4: Simplify right side
    223,375.50x = 237,067,227,920.25
  5. Step 5: Solve for x
    x = 237,067,227,920.25/223,375.50
  6. Step 6: Final answer
    x = 1,061,294.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.