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Finding the Third Proportional to 271,927 and 508,740

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Solution

The third proportional to 271,927 and 508,740 is: 951,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,927 : 508,740 = 508,740 : x
  2. Step 2: Convert to fraction form
    271,927/508,740 = 508,740/x
  3. Step 3: Cross multiply
    271,927x = 508,740 × 508,740
  4. Step 4: Simplify right side
    271,927x = 258,816,387,600
  5. Step 5: Solve for x
    x = 258,816,387,600/271,927
  6. Step 6: Final answer
    x = 951,786.28

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.