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Finding the Third Proportional to 315,543 and 694,191

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Solution

The third proportional to 315,543 and 694,191 is: 1,527,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,543 : 694,191 = 694,191 : x
  2. Step 2: Convert to fraction form
    315,543/694,191 = 694,191/x
  3. Step 3: Cross multiply
    315,543x = 694,191 × 694,191
  4. Step 4: Simplify right side
    315,543x = 481,901,144,481
  5. Step 5: Solve for x
    x = 481,901,144,481/315,543
  6. Step 6: Final answer
    x = 1,527,212.28

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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.