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Finding the Third Proportional to 246,682 and 534,836

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Solution

The third proportional to 246,682 and 534,836 is: 1,159,588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,682 : 534,836 = 534,836 : x
  2. Step 2: Convert to fraction form
    246,682/534,836 = 534,836/x
  3. Step 3: Cross multiply
    246,682x = 534,836 × 534,836
  4. Step 4: Simplify right side
    246,682x = 286,049,546,896
  5. Step 5: Solve for x
    x = 286,049,546,896/246,682
  6. Step 6: Final answer
    x = 1,159,588.24

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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.