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Finding the Third Proportional to 441,069 and 659,866.50

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Solution

The third proportional to 441,069 and 659,866.50 is: 987,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,069 : 659,866.50 = 659,866.50 : x
  2. Step 2: Convert to fraction form
    441,069/659,866.50 = 659,866.50/x
  3. Step 3: Cross multiply
    441,069x = 659,866.50 × 659,866.50
  4. Step 4: Simplify right side
    441,069x = 435,423,797,822.25
  5. Step 5: Solve for x
    x = 435,423,797,822.25/441,069
  6. Step 6: Final answer
    x = 987,201.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.