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Finding the Third Proportional to 436,844 and 659,276

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Solution

The third proportional to 436,844 and 659,276 is: 994,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,844 : 659,276 = 659,276 : x
  2. Step 2: Convert to fraction form
    436,844/659,276 = 659,276/x
  3. Step 3: Cross multiply
    436,844x = 659,276 × 659,276
  4. Step 4: Simplify right side
    436,844x = 434,644,844,176
  5. Step 5: Solve for x
    x = 434,644,844,176/436,844
  6. Step 6: Final answer
    x = 994,965.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.