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Finding the Third Proportional to 701,344 and 992,388

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Solution

The third proportional to 701,344 and 992,388 is: 1,404,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,344 : 992,388 = 992,388 : x
  2. Step 2: Convert to fraction form
    701,344/992,388 = 992,388/x
  3. Step 3: Cross multiply
    701,344x = 992,388 × 992,388
  4. Step 4: Simplify right side
    701,344x = 984,833,942,544
  5. Step 5: Solve for x
    x = 984,833,942,544/701,344
  6. Step 6: Final answer
    x = 1,404,209.55

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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.