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Finding the Third Proportional to 337,856 and 534,936

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Solution

The third proportional to 337,856 and 534,936 is: 846,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,856 : 534,936 = 534,936 : x
  2. Step 2: Convert to fraction form
    337,856/534,936 = 534,936/x
  3. Step 3: Cross multiply
    337,856x = 534,936 × 534,936
  4. Step 4: Simplify right side
    337,856x = 286,156,524,096
  5. Step 5: Solve for x
    x = 286,156,524,096/337,856
  6. Step 6: Final answer
    x = 846,977.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.