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Finding the Third Proportional to 366,956 and 561,374

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Solution

The third proportional to 366,956 and 561,374 is: 858,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,956 : 561,374 = 561,374 : x
  2. Step 2: Convert to fraction form
    366,956/561,374 = 561,374/x
  3. Step 3: Cross multiply
    366,956x = 561,374 × 561,374
  4. Step 4: Simplify right side
    366,956x = 315,140,767,876
  5. Step 5: Solve for x
    x = 315,140,767,876/366,956
  6. Step 6: Final answer
    x = 858,797.15

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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.