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Finding the Third Proportional to 436,794 and 658,269

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Solution

The third proportional to 436,794 and 658,269 is: 992,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,794 : 658,269 = 658,269 : x
  2. Step 2: Convert to fraction form
    436,794/658,269 = 658,269/x
  3. Step 3: Cross multiply
    436,794x = 658,269 × 658,269
  4. Step 4: Simplify right side
    436,794x = 433,318,076,361
  5. Step 5: Solve for x
    x = 433,318,076,361/436,794
  6. Step 6: Final answer
    x = 992,042.19

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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.