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Finding the Third Proportional to 246,682 and 539,498

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Solution

The third proportional to 246,682 and 539,498 is: 1,179,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,682 : 539,498 = 539,498 : x
  2. Step 2: Convert to fraction form
    246,682/539,498 = 539,498/x
  3. Step 3: Cross multiply
    246,682x = 539,498 × 539,498
  4. Step 4: Simplify right side
    246,682x = 291,058,092,004
  5. Step 5: Solve for x
    x = 291,058,092,004/246,682
  6. Step 6: Final answer
    x = 1,179,891.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.