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Finding the Third Proportional to 334,412 and 727,874

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Solution

The third proportional to 334,412 and 727,874 is: 1,584,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,412 : 727,874 = 727,874 : x
  2. Step 2: Convert to fraction form
    334,412/727,874 = 727,874/x
  3. Step 3: Cross multiply
    334,412x = 727,874 × 727,874
  4. Step 4: Simplify right side
    334,412x = 529,800,559,876
  5. Step 5: Solve for x
    x = 529,800,559,876/334,412
  6. Step 6: Final answer
    x = 1,584,274.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.