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Finding the Third Proportional to 437,069 and 659,624

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Solution

The third proportional to 437,069 and 659,624 is: 995,503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,069 : 659,624 = 659,624 : x
  2. Step 2: Convert to fraction form
    437,069/659,624 = 659,624/x
  3. Step 3: Cross multiply
    437,069x = 659,624 × 659,624
  4. Step 4: Simplify right side
    437,069x = 435,103,821,376
  5. Step 5: Solve for x
    x = 435,103,821,376/437,069
  6. Step 6: Final answer
    x = 995,503.73

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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.