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Finding the Third Proportional to 271,662 and 593,814

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Solution

The third proportional to 271,662 and 593,814 is: 1,297,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,662 : 593,814 = 593,814 : x
  2. Step 2: Convert to fraction form
    271,662/593,814 = 593,814/x
  3. Step 3: Cross multiply
    271,662x = 593,814 × 593,814
  4. Step 4: Simplify right side
    271,662x = 352,615,066,596
  5. Step 5: Solve for x
    x = 352,615,066,596/271,662
  6. Step 6: Final answer
    x = 1,297,991.87

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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.