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Finding the Third Proportional to 382,660 and 595,860

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Solution

The third proportional to 382,660 and 595,860 is: 927,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,660 : 595,860 = 595,860 : x
  2. Step 2: Convert to fraction form
    382,660/595,860 = 595,860/x
  3. Step 3: Cross multiply
    382,660x = 595,860 × 595,860
  4. Step 4: Simplify right side
    382,660x = 355,049,139,600
  5. Step 5: Solve for x
    x = 355,049,139,600/382,660
  6. Step 6: Final answer
    x = 927,844.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.