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Finding the Third Proportional to 269,610.75 and 412,597.13

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Solution

The third proportional to 269,610.75 and 412,597.13 is: 631,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,610.75 : 412,597.13 = 412,597.13 : x
  2. Step 2: Convert to fraction form
    269,610.75/412,597.13 = 412,597.13/x
  3. Step 3: Cross multiply
    269,610.75x = 412,597.13 × 412,597.13
  4. Step 4: Simplify right side
    269,610.75x = 170,236,387,558.27
  5. Step 5: Solve for x
    x = 170,236,387,558.27/269,610.75
  6. Step 6: Final answer
    x = 631,415.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.