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Finding the Third Proportional to 271,680 and 593,842

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Solution

The third proportional to 271,680 and 593,842 is: 1,298,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,680 : 593,842 = 593,842 : x
  2. Step 2: Convert to fraction form
    271,680/593,842 = 593,842/x
  3. Step 3: Cross multiply
    271,680x = 593,842 × 593,842
  4. Step 4: Simplify right side
    271,680x = 352,648,320,964
  5. Step 5: Solve for x
    x = 352,648,320,964/271,680
  6. Step 6: Final answer
    x = 1,298,028.27

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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.