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Finding the Third Proportional to 437,069 and 659,619

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Solution

The third proportional to 437,069 and 659,619 is: 995,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,069 : 659,619 = 659,619 : x
  2. Step 2: Convert to fraction form
    437,069/659,619 = 659,619/x
  3. Step 3: Cross multiply
    437,069x = 659,619 × 659,619
  4. Step 4: Simplify right side
    437,069x = 435,097,225,161
  5. Step 5: Solve for x
    x = 435,097,225,161/437,069
  6. Step 6: Final answer
    x = 995,488.64

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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.