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Finding the Third Proportional to 248,686 and 532,272

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Solution

The third proportional to 248,686 and 532,272 is: 1,139,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,686 : 532,272 = 532,272 : x
  2. Step 2: Convert to fraction form
    248,686/532,272 = 532,272/x
  3. Step 3: Cross multiply
    248,686x = 532,272 × 532,272
  4. Step 4: Simplify right side
    248,686x = 283,313,481,984
  5. Step 5: Solve for x
    x = 283,313,481,984/248,686
  6. Step 6: Final answer
    x = 1,139,241.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.