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Finding the Third Proportional to 441,296 and 952,564

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Solution

The third proportional to 441,296 and 952,564 is: 2,056,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,296 : 952,564 = 952,564 : x
  2. Step 2: Convert to fraction form
    441,296/952,564 = 952,564/x
  3. Step 3: Cross multiply
    441,296x = 952,564 × 952,564
  4. Step 4: Simplify right side
    441,296x = 907,378,174,096
  5. Step 5: Solve for x
    x = 907,378,174,096/441,296
  6. Step 6: Final answer
    x = 2,056,166.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.