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Finding the Third Proportional to 215,305.59 and 502,896.09

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Solution

The third proportional to 215,305.59 and 502,896.09 is: 1,174,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,305.59 : 502,896.09 = 502,896.09 : x
  2. Step 2: Convert to fraction form
    215,305.59/502,896.09 = 502,896.09/x
  3. Step 3: Cross multiply
    215,305.59x = 502,896.09 × 502,896.09
  4. Step 4: Simplify right side
    215,305.59x = 252,904,481,109.01
  5. Step 5: Solve for x
    x = 252,904,481,109.01/215,305.59
  6. Step 6: Final answer
    x = 1,174,630.33

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.