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Finding the Third Proportional to 627,232 and 942,260

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Solution

The third proportional to 627,232 and 942,260 is: 1,415,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,232 : 942,260 = 942,260 : x
  2. Step 2: Convert to fraction form
    627,232/942,260 = 942,260/x
  3. Step 3: Cross multiply
    627,232x = 942,260 × 942,260
  4. Step 4: Simplify right side
    627,232x = 887,853,907,600
  5. Step 5: Solve for x
    x = 887,853,907,600/627,232
  6. Step 6: Final answer
    x = 1,415,511.18

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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.