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Finding the Third Proportional to 233,665 and 502,869

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Solution

The third proportional to 233,665 and 502,869 is: 1,082,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,665 : 502,869 = 502,869 : x
  2. Step 2: Convert to fraction form
    233,665/502,869 = 502,869/x
  3. Step 3: Cross multiply
    233,665x = 502,869 × 502,869
  4. Step 4: Simplify right side
    233,665x = 252,877,231,161
  5. Step 5: Solve for x
    x = 252,877,231,161/233,665
  6. Step 6: Final answer
    x = 1,082,221.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.