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Finding the Third Proportional to 505,076.50 and 1,122,254

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Solution

The third proportional to 505,076.50 and 1,122,254 is: 2,493,590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,076.50 : 1,122,254 = 1,122,254 : x
  2. Step 2: Convert to fraction form
    505,076.50/1,122,254 = 1,122,254/x
  3. Step 3: Cross multiply
    505,076.50x = 1,122,254 × 1,122,254
  4. Step 4: Simplify right side
    505,076.50x = 1,259,454,040,516
  5. Step 5: Solve for x
    x = 1,259,454,040,516/505,076.50
  6. Step 6: Final answer
    x = 2,493,590.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.