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Finding the Third Proportional to 366,940 and 561,349

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Solution

The third proportional to 366,940 and 561,349 is: 858,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,940 : 561,349 = 561,349 : x
  2. Step 2: Convert to fraction form
    366,940/561,349 = 561,349/x
  3. Step 3: Cross multiply
    366,940x = 561,349 × 561,349
  4. Step 4: Simplify right side
    366,940x = 315,112,699,801
  5. Step 5: Solve for x
    x = 315,112,699,801/366,940
  6. Step 6: Final answer
    x = 858,758.11

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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.