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Finding the Third Proportional to 366,986 and 561,422

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Solution

The third proportional to 366,986 and 561,422 is: 858,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,986 : 561,422 = 561,422 : x
  2. Step 2: Convert to fraction form
    366,986/561,422 = 561,422/x
  3. Step 3: Cross multiply
    366,986x = 561,422 × 561,422
  4. Step 4: Simplify right side
    366,986x = 315,194,662,084
  5. Step 5: Solve for x
    x = 315,194,662,084/366,986
  6. Step 6: Final answer
    x = 858,873.80

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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.