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Finding the Third Proportional to 347,625 and 752,112

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Solution

The third proportional to 347,625 and 752,112 is: 1,627,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,625 : 752,112 = 752,112 : x
  2. Step 2: Convert to fraction form
    347,625/752,112 = 752,112/x
  3. Step 3: Cross multiply
    347,625x = 752,112 × 752,112
  4. Step 4: Simplify right side
    347,625x = 565,672,460,544
  5. Step 5: Solve for x
    x = 565,672,460,544/347,625
  6. Step 6: Final answer
    x = 1,627,249.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.