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Finding the Third Proportional to 366,988 and 803,912

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Solution

The third proportional to 366,988 and 803,912 is: 1,761,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,988 : 803,912 = 803,912 : x
  2. Step 2: Convert to fraction form
    366,988/803,912 = 803,912/x
  3. Step 3: Cross multiply
    366,988x = 803,912 × 803,912
  4. Step 4: Simplify right side
    366,988x = 646,274,503,744
  5. Step 5: Solve for x
    x = 646,274,503,744/366,988
  6. Step 6: Final answer
    x = 1,761,023.53

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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.