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Finding the Third Proportional to 229,224.94 and 503,830.13

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Solution

The third proportional to 229,224.94 and 503,830.13 is: 1,107,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,224.94 : 503,830.13 = 503,830.13 : x
  2. Step 2: Convert to fraction form
    229,224.94/503,830.13 = 503,830.13/x
  3. Step 3: Cross multiply
    229,224.94x = 503,830.13 × 503,830.13
  4. Step 4: Simplify right side
    229,224.94x = 253,844,794,857.52
  5. Step 5: Solve for x
    x = 253,844,794,857.52/229,224.94
  6. Step 6: Final answer
    x = 1,107,404.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.