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Finding the Third Proportional to 246,489.75 and 517,884.47

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Solution

The third proportional to 246,489.75 and 517,884.47 is: 1,088,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,489.75 : 517,884.47 = 517,884.47 : x
  2. Step 2: Convert to fraction form
    246,489.75/517,884.47 = 517,884.47/x
  3. Step 3: Cross multiply
    246,489.75x = 517,884.47 × 517,884.47
  4. Step 4: Simplify right side
    246,489.75x = 268,204,322,972.47
  5. Step 5: Solve for x
    x = 268,204,322,972.47/246,489.75
  6. Step 6: Final answer
    x = 1,088,095.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.