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Finding the Third Proportional to 388,912 and 599,962

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Solution

The third proportional to 388,912 and 599,962 is: 925,542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,912 : 599,962 = 599,962 : x
  2. Step 2: Convert to fraction form
    388,912/599,962 = 599,962/x
  3. Step 3: Cross multiply
    388,912x = 599,962 × 599,962
  4. Step 4: Simplify right side
    388,912x = 359,954,401,444
  5. Step 5: Solve for x
    x = 359,954,401,444/388,912
  6. Step 6: Final answer
    x = 925,542.03

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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.