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Finding the Third Proportional to 246,929 and 541,044

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Solution

The third proportional to 246,929 and 541,044 is: 1,185,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,929 : 541,044 = 541,044 : x
  2. Step 2: Convert to fraction form
    246,929/541,044 = 541,044/x
  3. Step 3: Cross multiply
    246,929x = 541,044 × 541,044
  4. Step 4: Simplify right side
    246,929x = 292,728,609,936
  5. Step 5: Solve for x
    x = 292,728,609,936/246,929
  6. Step 6: Final answer
    x = 1,185,476.84

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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.