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Finding the Third Proportional to 227,728.13 and 486,987.19

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Solution

The third proportional to 227,728.13 and 486,987.19 is: 1,041,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,728.13 : 486,987.19 = 486,987.19 : x
  2. Step 2: Convert to fraction form
    227,728.13/486,987.19 = 486,987.19/x
  3. Step 3: Cross multiply
    227,728.13x = 486,987.19 × 486,987.19
  4. Step 4: Simplify right side
    227,728.13x = 237,156,520,789.16
  5. Step 5: Solve for x
    x = 237,156,520,789.16/227,728.13
  6. Step 6: Final answer
    x = 1,041,401.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.