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Finding the Third Proportional to 395,006 and 595,995

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Solution

The third proportional to 395,006 and 595,995 is: 899,252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,006 : 595,995 = 595,995 : x
  2. Step 2: Convert to fraction form
    395,006/595,995 = 595,995/x
  3. Step 3: Cross multiply
    395,006x = 595,995 × 595,995
  4. Step 4: Simplify right side
    395,006x = 355,210,040,025
  5. Step 5: Solve for x
    x = 355,210,040,025/395,006
  6. Step 6: Final answer
    x = 899,252.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.