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Finding the Third Proportional to 229,111.03 and 503,425.76

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Solution

The third proportional to 229,111.03 and 503,425.76 is: 1,106,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,111.03 : 503,425.76 = 503,425.76 : x
  2. Step 2: Convert to fraction form
    229,111.03/503,425.76 = 503,425.76/x
  3. Step 3: Cross multiply
    229,111.03x = 503,425.76 × 503,425.76
  4. Step 4: Simplify right side
    229,111.03x = 253,437,493,629.09
  5. Step 5: Solve for x
    x = 253,437,493,629.09/229,111.03
  6. Step 6: Final answer
    x = 1,106,177.61

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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.