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Finding the Third Proportional to 229,131 and 502,326

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Solution

The third proportional to 229,131 and 502,326 is: 1,101,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,131 : 502,326 = 502,326 : x
  2. Step 2: Convert to fraction form
    229,131/502,326 = 502,326/x
  3. Step 3: Cross multiply
    229,131x = 502,326 × 502,326
  4. Step 4: Simplify right side
    229,131x = 252,331,410,276
  5. Step 5: Solve for x
    x = 252,331,410,276/229,131
  6. Step 6: Final answer
    x = 1,101,253.91

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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.