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Finding the Third Proportional to 366,969 and 803,874

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Solution

The third proportional to 366,969 and 803,874 is: 1,760,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,969 : 803,874 = 803,874 : x
  2. Step 2: Convert to fraction form
    366,969/803,874 = 803,874/x
  3. Step 3: Cross multiply
    366,969x = 803,874 × 803,874
  4. Step 4: Simplify right side
    366,969x = 646,213,407,876
  5. Step 5: Solve for x
    x = 646,213,407,876/366,969
  6. Step 6: Final answer
    x = 1,760,948.22

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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.