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Finding the Third Proportional to 213,879 and 464,184

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Solution

The third proportional to 213,879 and 464,184 is: 1,007,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,879 : 464,184 = 464,184 : x
  2. Step 2: Convert to fraction form
    213,879/464,184 = 464,184/x
  3. Step 3: Cross multiply
    213,879x = 464,184 × 464,184
  4. Step 4: Simplify right side
    213,879x = 215,466,785,856
  5. Step 5: Solve for x
    x = 215,466,785,856/213,879
  6. Step 6: Final answer
    x = 1,007,423.76

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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.