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Finding the Third Proportional to 271,605 and 422,937

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Solution

The third proportional to 271,605 and 422,937 is: 658,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,605 : 422,937 = 422,937 : x
  2. Step 2: Convert to fraction form
    271,605/422,937 = 422,937/x
  3. Step 3: Cross multiply
    271,605x = 422,937 × 422,937
  4. Step 4: Simplify right side
    271,605x = 178,875,705,969
  5. Step 5: Solve for x
    x = 178,875,705,969/271,605
  6. Step 6: Final answer
    x = 658,587.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.