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Finding the Third Proportional to 337,451 and 712,846

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Solution

The third proportional to 337,451 and 712,846 is: 1,505,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,451 : 712,846 = 712,846 : x
  2. Step 2: Convert to fraction form
    337,451/712,846 = 712,846/x
  3. Step 3: Cross multiply
    337,451x = 712,846 × 712,846
  4. Step 4: Simplify right side
    337,451x = 508,149,419,716
  5. Step 5: Solve for x
    x = 508,149,419,716/337,451
  6. Step 6: Final answer
    x = 1,505,846.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.