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Finding the Third Proportional to 271,940 and 508,764

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Solution

The third proportional to 271,940 and 508,764 is: 951,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,940 : 508,764 = 508,764 : x
  2. Step 2: Convert to fraction form
    271,940/508,764 = 508,764/x
  3. Step 3: Cross multiply
    271,940x = 508,764 × 508,764
  4. Step 4: Simplify right side
    271,940x = 258,840,807,696
  5. Step 5: Solve for x
    x = 258,840,807,696/271,940
  6. Step 6: Final answer
    x = 951,830.58

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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.