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Finding the Third Proportional to 437,073 and 659,626

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Solution

The third proportional to 437,073 and 659,626 is: 995,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,073 : 659,626 = 659,626 : x
  2. Step 2: Convert to fraction form
    437,073/659,626 = 659,626/x
  3. Step 3: Cross multiply
    437,073x = 659,626 × 659,626
  4. Step 4: Simplify right side
    437,073x = 435,106,459,876
  5. Step 5: Solve for x
    x = 435,106,459,876/437,073
  6. Step 6: Final answer
    x = 995,500.66

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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.