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Finding the Third Proportional to 627,234 and 942,263

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Solution

The third proportional to 627,234 and 942,263 is: 1,415,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,234 : 942,263 = 942,263 : x
  2. Step 2: Convert to fraction form
    627,234/942,263 = 942,263/x
  3. Step 3: Cross multiply
    627,234x = 942,263 × 942,263
  4. Step 4: Simplify right side
    627,234x = 887,859,561,169
  5. Step 5: Solve for x
    x = 887,859,561,169/627,234
  6. Step 6: Final answer
    x = 1,415,515.68

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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.