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Finding the Third Proportional to 367,045 and 534,589

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Solution

The third proportional to 367,045 and 534,589 is: 778,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,045 : 534,589 = 534,589 : x
  2. Step 2: Convert to fraction form
    367,045/534,589 = 534,589/x
  3. Step 3: Cross multiply
    367,045x = 534,589 × 534,589
  4. Step 4: Simplify right side
    367,045x = 285,785,398,921
  5. Step 5: Solve for x
    x = 285,785,398,921/367,045
  6. Step 6: Final answer
    x = 778,611.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.