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Finding the Third Proportional to 227,170.13 and 491,950.13

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Solution

The third proportional to 227,170.13 and 491,950.13 is: 1,065,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,170.13 : 491,950.13 = 491,950.13 : x
  2. Step 2: Convert to fraction form
    227,170.13/491,950.13 = 491,950.13/x
  3. Step 3: Cross multiply
    227,170.13x = 491,950.13 × 491,950.13
  4. Step 4: Simplify right side
    227,170.13x = 242,014,925,487.52
  5. Step 5: Solve for x
    x = 242,014,925,487.52/227,170.13
  6. Step 6: Final answer
    x = 1,065,346.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.