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Finding the Third Proportional to 227,043 and 486,685.13

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Solution

The third proportional to 227,043 and 486,685.13 is: 1,043,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,043 : 486,685.13 = 486,685.13 : x
  2. Step 2: Convert to fraction form
    227,043/486,685.13 = 486,685.13/x
  3. Step 3: Cross multiply
    227,043x = 486,685.13 × 486,685.13
  4. Step 4: Simplify right side
    227,043x = 236,862,410,896.27
  5. Step 5: Solve for x
    x = 236,862,410,896.27/227,043
  6. Step 6: Final answer
    x = 1,043,249.12

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Why These Related Problems?

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