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Finding the Third Proportional to 388,092 and 835,200

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Solution

The third proportional to 388,092 and 835,200 is: 1,797,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,092 : 835,200 = 835,200 : x
  2. Step 2: Convert to fraction form
    388,092/835,200 = 835,200/x
  3. Step 3: Cross multiply
    388,092x = 835,200 × 835,200
  4. Step 4: Simplify right side
    388,092x = 697,559,040,000
  5. Step 5: Solve for x
    x = 697,559,040,000/388,092
  6. Step 6: Final answer
    x = 1,797,406.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.