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Finding the Third Proportional to 511,029 and 694,319.34

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Solution

The third proportional to 511,029 and 694,319.34 is: 943,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,029 : 694,319.34 = 694,319.34 : x
  2. Step 2: Convert to fraction form
    511,029/694,319.34 = 694,319.34/x
  3. Step 3: Cross multiply
    511,029x = 694,319.34 × 694,319.34
  4. Step 4: Simplify right side
    511,029x = 482,079,351,105.43
  5. Step 5: Solve for x
    x = 482,079,351,105.43/511,029
  6. Step 6: Final answer
    x = 943,350.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.