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Finding the Third Proportional to 271,324 and 590,863

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Solution

The third proportional to 271,324 and 590,863 is: 1,286,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,324 : 590,863 = 590,863 : x
  2. Step 2: Convert to fraction form
    271,324/590,863 = 590,863/x
  3. Step 3: Cross multiply
    271,324x = 590,863 × 590,863
  4. Step 4: Simplify right side
    271,324x = 349,119,084,769
  5. Step 5: Solve for x
    x = 349,119,084,769/271,324
  6. Step 6: Final answer
    x = 1,286,723.93

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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.