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Finding the Third Proportional to 315,541 and 694,186

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Solution

The third proportional to 315,541 and 694,186 is: 1,527,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,541 : 694,186 = 694,186 : x
  2. Step 2: Convert to fraction form
    315,541/694,186 = 694,186/x
  3. Step 3: Cross multiply
    315,541x = 694,186 × 694,186
  4. Step 4: Simplify right side
    315,541x = 481,894,202,596
  5. Step 5: Solve for x
    x = 481,894,202,596/315,541
  6. Step 6: Final answer
    x = 1,527,199.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.