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Finding the Third Proportional to 213,116 and 462,115

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Solution

The third proportional to 213,116 and 462,115 is: 1,002,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,116 : 462,115 = 462,115 : x
  2. Step 2: Convert to fraction form
    213,116/462,115 = 462,115/x
  3. Step 3: Cross multiply
    213,116x = 462,115 × 462,115
  4. Step 4: Simplify right side
    213,116x = 213,550,273,225
  5. Step 5: Solve for x
    x = 213,550,273,225/213,116
  6. Step 6: Final answer
    x = 1,002,037.73

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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.