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Finding the Third Proportional to 388,867 and 599,882

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Solution

The third proportional to 388,867 and 599,882 is: 925,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,867 : 599,882 = 599,882 : x
  2. Step 2: Convert to fraction form
    388,867/599,882 = 599,882/x
  3. Step 3: Cross multiply
    388,867x = 599,882 × 599,882
  4. Step 4: Simplify right side
    388,867x = 359,858,413,924
  5. Step 5: Solve for x
    x = 359,858,413,924/388,867
  6. Step 6: Final answer
    x = 925,402.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.