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Finding the Third Proportional to 511,301 and 800,324

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Solution

The third proportional to 511,301 and 800,324 is: 1,252,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,301 : 800,324 = 800,324 : x
  2. Step 2: Convert to fraction form
    511,301/800,324 = 800,324/x
  3. Step 3: Cross multiply
    511,301x = 800,324 × 800,324
  4. Step 4: Simplify right side
    511,301x = 640,518,504,976
  5. Step 5: Solve for x
    x = 640,518,504,976/511,301
  6. Step 6: Final answer
    x = 1,252,722.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.