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Finding the Third Proportional to 213,115 and 462,113

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Solution

The third proportional to 213,115 and 462,113 is: 1,002,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,115 : 462,113 = 462,113 : x
  2. Step 2: Convert to fraction form
    213,115/462,113 = 462,113/x
  3. Step 3: Cross multiply
    213,115x = 462,113 × 462,113
  4. Step 4: Simplify right side
    213,115x = 213,548,424,769
  5. Step 5: Solve for x
    x = 213,548,424,769/213,115
  6. Step 6: Final answer
    x = 1,002,033.76

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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.