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Finding the Third Proportional to 293,380 and 642,860

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Solution

The third proportional to 293,380 and 642,860 is: 1,408,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,380 : 642,860 = 642,860 : x
  2. Step 2: Convert to fraction form
    293,380/642,860 = 642,860/x
  3. Step 3: Cross multiply
    293,380x = 642,860 × 642,860
  4. Step 4: Simplify right side
    293,380x = 413,268,979,600
  5. Step 5: Solve for x
    x = 413,268,979,600/293,380
  6. Step 6: Final answer
    x = 1,408,647.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.