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Finding the Third Proportional to 701,296 and 992,328

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Solution

The third proportional to 701,296 and 992,328 is: 1,404,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,296 : 992,328 = 992,328 : x
  2. Step 2: Convert to fraction form
    701,296/992,328 = 992,328/x
  3. Step 3: Cross multiply
    701,296x = 992,328 × 992,328
  4. Step 4: Simplify right side
    701,296x = 984,714,859,584
  5. Step 5: Solve for x
    x = 984,714,859,584/701,296
  6. Step 6: Final answer
    x = 1,404,135.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.