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Finding the Third Proportional to 276,876 and 604,997

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Solution

The third proportional to 276,876 and 604,997 is: 1,321,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,876 : 604,997 = 604,997 : x
  2. Step 2: Convert to fraction form
    276,876/604,997 = 604,997/x
  3. Step 3: Cross multiply
    276,876x = 604,997 × 604,997
  4. Step 4: Simplify right side
    276,876x = 366,021,370,009
  5. Step 5: Solve for x
    x = 366,021,370,009/276,876
  6. Step 6: Final answer
    x = 1,321,968.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.