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Finding the Third Proportional to 271,678 and 593,838

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Solution

The third proportional to 271,678 and 593,838 is: 1,298,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,678 : 593,838 = 593,838 : x
  2. Step 2: Convert to fraction form
    271,678/593,838 = 593,838/x
  3. Step 3: Cross multiply
    271,678x = 593,838 × 593,838
  4. Step 4: Simplify right side
    271,678x = 352,643,570,244
  5. Step 5: Solve for x
    x = 352,643,570,244/271,678
  6. Step 6: Final answer
    x = 1,298,020.34

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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.