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Finding the Third Proportional to 441,288 and 661,339.69

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Solution

The third proportional to 441,288 and 661,339.69 is: 991,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,288 : 661,339.69 = 661,339.69 : x
  2. Step 2: Convert to fraction form
    441,288/661,339.69 = 661,339.69/x
  3. Step 3: Cross multiply
    441,288x = 661,339.69 × 661,339.69
  4. Step 4: Simplify right side
    441,288x = 437,370,182,262.60
  5. Step 5: Solve for x
    x = 437,370,182,262.60/441,288
  6. Step 6: Final answer
    x = 991,121.86

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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.