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Finding the Third Proportional to 437,120 and 659,696

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Solution

The third proportional to 437,120 and 659,696 is: 995,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,120 : 659,696 = 659,696 : x
  2. Step 2: Convert to fraction form
    437,120/659,696 = 659,696/x
  3. Step 3: Cross multiply
    437,120x = 659,696 × 659,696
  4. Step 4: Simplify right side
    437,120x = 435,198,812,416
  5. Step 5: Solve for x
    x = 435,198,812,416/437,120
  6. Step 6: Final answer
    x = 995,604.90

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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.