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Finding the Third Proportional to 259,924 and 540,272

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Solution

The third proportional to 259,924 and 540,272 is: 1,122,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,924 : 540,272 = 540,272 : x
  2. Step 2: Convert to fraction form
    259,924/540,272 = 540,272/x
  3. Step 3: Cross multiply
    259,924x = 540,272 × 540,272
  4. Step 4: Simplify right side
    259,924x = 291,893,833,984
  5. Step 5: Solve for x
    x = 291,893,833,984/259,924
  6. Step 6: Final answer
    x = 1,122,996.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.