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Finding the Third Proportional to 504,800 and 752,824

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Solution

The third proportional to 504,800 and 752,824 is: 1,122,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,800 : 752,824 = 752,824 : x
  2. Step 2: Convert to fraction form
    504,800/752,824 = 752,824/x
  3. Step 3: Cross multiply
    504,800x = 752,824 × 752,824
  4. Step 4: Simplify right side
    504,800x = 566,743,974,976
  5. Step 5: Solve for x
    x = 566,743,974,976/504,800
  6. Step 6: Final answer
    x = 1,122,709.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.