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Finding the Third Proportional to 306,027 and 662,874

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Solution

The third proportional to 306,027 and 662,874 is: 1,435,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,027 : 662,874 = 662,874 : x
  2. Step 2: Convert to fraction form
    306,027/662,874 = 662,874/x
  3. Step 3: Cross multiply
    306,027x = 662,874 × 662,874
  4. Step 4: Simplify right side
    306,027x = 439,401,939,876
  5. Step 5: Solve for x
    x = 439,401,939,876/306,027
  6. Step 6: Final answer
    x = 1,435,827.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.