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Finding the Third Proportional to 366,965 and 803,866

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Solution

The third proportional to 366,965 and 803,866 is: 1,760,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,965 : 803,866 = 803,866 : x
  2. Step 2: Convert to fraction form
    366,965/803,866 = 803,866/x
  3. Step 3: Cross multiply
    366,965x = 803,866 × 803,866
  4. Step 4: Simplify right side
    366,965x = 646,200,545,956
  5. Step 5: Solve for x
    x = 646,200,545,956/366,965
  6. Step 6: Final answer
    x = 1,760,932.37

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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.