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Finding the Third Proportional to 248,804 and 374,997

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Solution

The third proportional to 248,804 and 374,997 is: 565,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,804 : 374,997 = 374,997 : x
  2. Step 2: Convert to fraction form
    248,804/374,997 = 374,997/x
  3. Step 3: Cross multiply
    248,804x = 374,997 × 374,997
  4. Step 4: Simplify right side
    248,804x = 140,622,750,009
  5. Step 5: Solve for x
    x = 140,622,750,009/248,804
  6. Step 6: Final answer
    x = 565,194.89

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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.