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Finding the Third Proportional to 627,486.75 and 942,662.25

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Solution

The third proportional to 627,486.75 and 942,662.25 is: 1,416,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,486.75 : 942,662.25 = 942,662.25 : x
  2. Step 2: Convert to fraction form
    627,486.75/942,662.25 = 942,662.25/x
  3. Step 3: Cross multiply
    627,486.75x = 942,662.25 × 942,662.25
  4. Step 4: Simplify right side
    627,486.75x = 888,612,117,575.06
  5. Step 5: Solve for x
    x = 888,612,117,575.06/627,486.75
  6. Step 6: Final answer
    x = 1,416,144.83

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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.