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Finding the Third Proportional to 271,664 and 593,816

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Solution

The third proportional to 271,664 and 593,816 is: 1,297,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,664 : 593,816 = 593,816 : x
  2. Step 2: Convert to fraction form
    271,664/593,816 = 593,816/x
  3. Step 3: Cross multiply
    271,664x = 593,816 × 593,816
  4. Step 4: Simplify right side
    271,664x = 352,617,441,856
  5. Step 5: Solve for x
    x = 352,617,441,856/271,664
  6. Step 6: Final answer
    x = 1,297,991.05

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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.