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Finding the Third Proportional to 568,728 and 854,550

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Solution

The third proportional to 568,728 and 854,550 is: 1,284,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,728 : 854,550 = 854,550 : x
  2. Step 2: Convert to fraction form
    568,728/854,550 = 854,550/x
  3. Step 3: Cross multiply
    568,728x = 854,550 × 854,550
  4. Step 4: Simplify right side
    568,728x = 730,255,702,500
  5. Step 5: Solve for x
    x = 730,255,702,500/568,728
  6. Step 6: Final answer
    x = 1,284,015.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.