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Finding the Third Proportional to 436,966 and 659,458

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Solution

The third proportional to 436,966 and 659,458 is: 995,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,966 : 659,458 = 659,458 : x
  2. Step 2: Convert to fraction form
    436,966/659,458 = 659,458/x
  3. Step 3: Cross multiply
    436,966x = 659,458 × 659,458
  4. Step 4: Simplify right side
    436,966x = 434,884,853,764
  5. Step 5: Solve for x
    x = 434,884,853,764/436,966
  6. Step 6: Final answer
    x = 995,237.28

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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.