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Finding the Third Proportional to 246,944 and 545,296

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Solution

The third proportional to 246,944 and 545,296 is: 1,204,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,944 : 545,296 = 545,296 : x
  2. Step 2: Convert to fraction form
    246,944/545,296 = 545,296/x
  3. Step 3: Cross multiply
    246,944x = 545,296 × 545,296
  4. Step 4: Simplify right side
    246,944x = 297,347,727,616
  5. Step 5: Solve for x
    x = 297,347,727,616/246,944
  6. Step 6: Final answer
    x = 1,204,109.95

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.