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Finding the Third Proportional to 261,823 and 400,349

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Solution

The third proportional to 261,823 and 400,349 is: 612,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,823 : 400,349 = 400,349 : x
  2. Step 2: Convert to fraction form
    261,823/400,349 = 400,349/x
  3. Step 3: Cross multiply
    261,823x = 400,349 × 400,349
  4. Step 4: Simplify right side
    261,823x = 160,279,321,801
  5. Step 5: Solve for x
    x = 160,279,321,801/261,823
  6. Step 6: Final answer
    x = 612,166.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.