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Finding the Third Proportional to 353,066 and 522,739

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Solution

The third proportional to 353,066 and 522,739 is: 773,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,066 : 522,739 = 522,739 : x
  2. Step 2: Convert to fraction form
    353,066/522,739 = 522,739/x
  3. Step 3: Cross multiply
    353,066x = 522,739 × 522,739
  4. Step 4: Simplify right side
    353,066x = 273,256,062,121
  5. Step 5: Solve for x
    x = 273,256,062,121/353,066
  6. Step 6: Final answer
    x = 773,951.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.