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Finding the Third Proportional to 627,186.75 and 942,193.13

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Solution

The third proportional to 627,186.75 and 942,193.13 is: 1,415,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,186.75 : 942,193.13 = 942,193.13 : x
  2. Step 2: Convert to fraction form
    627,186.75/942,193.13 = 942,193.13/x
  3. Step 3: Cross multiply
    627,186.75x = 942,193.13 × 942,193.13
  4. Step 4: Simplify right side
    627,186.75x = 887,727,884,797.27
  5. Step 5: Solve for x
    x = 887,727,884,797.27/627,186.75
  6. Step 6: Final answer
    x = 1,415,412.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.