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Finding the Third Proportional to 395,004 and 595,992

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Solution

The third proportional to 395,004 and 595,992 is: 899,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,004 : 595,992 = 595,992 : x
  2. Step 2: Convert to fraction form
    395,004/595,992 = 595,992/x
  3. Step 3: Cross multiply
    395,004x = 595,992 × 595,992
  4. Step 4: Simplify right side
    395,004x = 355,206,464,064
  5. Step 5: Solve for x
    x = 355,206,464,064/395,004
  6. Step 6: Final answer
    x = 899,247.76

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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.