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Finding the Third Proportional to 230,061.75 and 478,895.25

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Solution

The third proportional to 230,061.75 and 478,895.25 is: 996,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,061.75 : 478,895.25 = 478,895.25 : x
  2. Step 2: Convert to fraction form
    230,061.75/478,895.25 = 478,895.25/x
  3. Step 3: Cross multiply
    230,061.75x = 478,895.25 × 478,895.25
  4. Step 4: Simplify right side
    230,061.75x = 229,340,660,472.56
  5. Step 5: Solve for x
    x = 229,340,660,472.56/230,061.75
  6. Step 6: Final answer
    x = 996,865.67

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.