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Finding the Third Proportional to 297,942 and 680,697

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Solution

The third proportional to 297,942 and 680,697 is: 1,555,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,942 : 680,697 = 680,697 : x
  2. Step 2: Convert to fraction form
    297,942/680,697 = 680,697/x
  3. Step 3: Cross multiply
    297,942x = 680,697 × 680,697
  4. Step 4: Simplify right side
    297,942x = 463,348,405,809
  5. Step 5: Solve for x
    x = 463,348,405,809/297,942
  6. Step 6: Final answer
    x = 1,555,163.10

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.