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Finding the Third Proportional to 627,210 and 942,228

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Solution

The third proportional to 627,210 and 942,228 is: 1,415,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,210 : 942,228 = 942,228 : x
  2. Step 2: Convert to fraction form
    627,210/942,228 = 942,228/x
  3. Step 3: Cross multiply
    627,210x = 942,228 × 942,228
  4. Step 4: Simplify right side
    627,210x = 887,793,603,984
  5. Step 5: Solve for x
    x = 887,793,603,984/627,210
  6. Step 6: Final answer
    x = 1,415,464.68

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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.