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Finding the Third Proportional to 213,322 and 452,879

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Solution

The third proportional to 213,322 and 452,879 is: 961,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,322 : 452,879 = 452,879 : x
  2. Step 2: Convert to fraction form
    213,322/452,879 = 452,879/x
  3. Step 3: Cross multiply
    213,322x = 452,879 × 452,879
  4. Step 4: Simplify right side
    213,322x = 205,099,388,641
  5. Step 5: Solve for x
    x = 205,099,388,641/213,322
  6. Step 6: Final answer
    x = 961,454.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.