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Finding the Third Proportional to 213,197 and 463,979

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Solution

The third proportional to 213,197 and 463,979 is: 1,009,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,197 : 463,979 = 463,979 : x
  2. Step 2: Convert to fraction form
    213,197/463,979 = 463,979/x
  3. Step 3: Cross multiply
    213,197x = 463,979 × 463,979
  4. Step 4: Simplify right side
    213,197x = 215,276,512,441
  5. Step 5: Solve for x
    x = 215,276,512,441/213,197
  6. Step 6: Final answer
    x = 1,009,753.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.