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Finding the Third Proportional to 627,268 and 942,320

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Solution

The third proportional to 627,268 and 942,320 is: 1,415,610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,268 : 942,320 = 942,320 : x
  2. Step 2: Convert to fraction form
    627,268/942,320 = 942,320/x
  3. Step 3: Cross multiply
    627,268x = 942,320 × 942,320
  4. Step 4: Simplify right side
    627,268x = 887,966,982,400
  5. Step 5: Solve for x
    x = 887,966,982,400/627,268
  6. Step 6: Final answer
    x = 1,415,610.21

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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.