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Finding the Third Proportional to 213,295 and 466,766

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Solution

The third proportional to 213,295 and 466,766 is: 1,021,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,295 : 466,766 = 466,766 : x
  2. Step 2: Convert to fraction form
    213,295/466,766 = 466,766/x
  3. Step 3: Cross multiply
    213,295x = 466,766 × 466,766
  4. Step 4: Simplify right side
    213,295x = 217,870,498,756
  5. Step 5: Solve for x
    x = 217,870,498,756/213,295
  6. Step 6: Final answer
    x = 1,021,451.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.