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Finding the Third Proportional to 227,635.95 and 491,744.67

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Solution

The third proportional to 227,635.95 and 491,744.67 is: 1,062,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,635.95 : 491,744.67 = 491,744.67 : x
  2. Step 2: Convert to fraction form
    227,635.95/491,744.67 = 491,744.67/x
  3. Step 3: Cross multiply
    227,635.95x = 491,744.67 × 491,744.67
  4. Step 4: Simplify right side
    227,635.95x = 241,812,822,317.45
  5. Step 5: Solve for x
    x = 241,812,822,317.45/227,635.95
  6. Step 6: Final answer
    x = 1,062,278.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.