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Finding the Third Proportional to 246,272 and 534,582

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Solution

The third proportional to 246,272 and 534,582 is: 1,160,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,272 : 534,582 = 534,582 : x
  2. Step 2: Convert to fraction form
    246,272/534,582 = 534,582/x
  3. Step 3: Cross multiply
    246,272x = 534,582 × 534,582
  4. Step 4: Simplify right side
    246,272x = 285,777,914,724
  5. Step 5: Solve for x
    x = 285,777,914,724/246,272
  6. Step 6: Final answer
    x = 1,160,415.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.