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Finding the Third Proportional to 437,124 and 659,702

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Solution

The third proportional to 437,124 and 659,702 is: 995,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,124 : 659,702 = 659,702 : x
  2. Step 2: Convert to fraction form
    437,124/659,702 = 659,702/x
  3. Step 3: Cross multiply
    437,124x = 659,702 × 659,702
  4. Step 4: Simplify right side
    437,124x = 435,206,728,804
  5. Step 5: Solve for x
    x = 435,206,728,804/437,124
  6. Step 6: Final answer
    x = 995,613.90

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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.