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Finding the Third Proportional to 315,538.50 and 694,181.25

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Solution

The third proportional to 315,538.50 and 694,181.25 is: 1,527,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,538.50 : 694,181.25 = 694,181.25 : x
  2. Step 2: Convert to fraction form
    315,538.50/694,181.25 = 694,181.25/x
  3. Step 3: Cross multiply
    315,538.50x = 694,181.25 × 694,181.25
  4. Step 4: Simplify right side
    315,538.50x = 481,887,607,851.56
  5. Step 5: Solve for x
    x = 481,887,607,851.56/315,538.50
  6. Step 6: Final answer
    x = 1,527,191.16

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Why These Related Problems?

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