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Finding the Third Proportional to 229,276.69 and 502,794.56

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Solution

The third proportional to 229,276.69 and 502,794.56 is: 1,102,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,276.69 : 502,794.56 = 502,794.56 : x
  2. Step 2: Convert to fraction form
    229,276.69/502,794.56 = 502,794.56/x
  3. Step 3: Cross multiply
    229,276.69x = 502,794.56 × 502,794.56
  4. Step 4: Simplify right side
    229,276.69x = 252,802,372,079.57
  5. Step 5: Solve for x
    x = 252,802,372,079.57/229,276.69
  6. Step 6: Final answer
    x = 1,102,608.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.