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Finding the Third Proportional to 271,664 and 590,034

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Solution

The third proportional to 271,664 and 590,034 is: 1,281,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,664 : 590,034 = 590,034 : x
  2. Step 2: Convert to fraction form
    271,664/590,034 = 590,034/x
  3. Step 3: Cross multiply
    271,664x = 590,034 × 590,034
  4. Step 4: Simplify right side
    271,664x = 348,140,121,156
  5. Step 5: Solve for x
    x = 348,140,121,156/271,664
  6. Step 6: Final answer
    x = 1,281,509.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.