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Finding the Third Proportional to 395,005 and 595,993

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Solution

The third proportional to 395,005 and 595,993 is: 899,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,005 : 595,993 = 595,993 : x
  2. Step 2: Convert to fraction form
    395,005/595,993 = 595,993/x
  3. Step 3: Cross multiply
    395,005x = 595,993 × 595,993
  4. Step 4: Simplify right side
    395,005x = 355,207,656,049
  5. Step 5: Solve for x
    x = 355,207,656,049/395,005
  6. Step 6: Final answer
    x = 899,248.51

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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.