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Finding the Third Proportional to 395,008 and 595,997

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Solution

The third proportional to 395,008 and 595,997 is: 899,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,008 : 595,997 = 595,997 : x
  2. Step 2: Convert to fraction form
    395,008/595,997 = 595,997/x
  3. Step 3: Cross multiply
    395,008x = 595,997 × 595,997
  4. Step 4: Simplify right side
    395,008x = 355,212,424,009
  5. Step 5: Solve for x
    x = 355,212,424,009/395,008
  6. Step 6: Final answer
    x = 899,253.75

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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.