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Finding the Third Proportional to 233,820 and 504,126

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Solution

The third proportional to 233,820 and 504,126 is: 1,086,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,820 : 504,126 = 504,126 : x
  2. Step 2: Convert to fraction form
    233,820/504,126 = 504,126/x
  3. Step 3: Cross multiply
    233,820x = 504,126 × 504,126
  4. Step 4: Simplify right side
    233,820x = 254,143,023,876
  5. Step 5: Solve for x
    x = 254,143,023,876/233,820
  6. Step 6: Final answer
    x = 1,086,917.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.