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Finding the Third Proportional to 367,085 and 680,767

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Solution

The third proportional to 367,085 and 680,767 is: 1,262,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,085 : 680,767 = 680,767 : x
  2. Step 2: Convert to fraction form
    367,085/680,767 = 680,767/x
  3. Step 3: Cross multiply
    367,085x = 680,767 × 680,767
  4. Step 4: Simplify right side
    367,085x = 463,443,708,289
  5. Step 5: Solve for x
    x = 463,443,708,289/367,085
  6. Step 6: Final answer
    x = 1,262,496.99

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.