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Finding the Third Proportional to 441,252 and 661,752

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Solution

The third proportional to 441,252 and 661,752 is: 992,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,252 : 661,752 = 661,752 : x
  2. Step 2: Convert to fraction form
    441,252/661,752 = 661,752/x
  3. Step 3: Cross multiply
    441,252x = 661,752 × 661,752
  4. Step 4: Simplify right side
    441,252x = 437,915,709,504
  5. Step 5: Solve for x
    x = 437,915,709,504/441,252
  6. Step 6: Final answer
    x = 992,439.04

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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.