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Finding the Third Proportional to 568,970 and 854,967

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Solution

The third proportional to 568,970 and 854,967 is: 1,284,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,970 : 854,967 = 854,967 : x
  2. Step 2: Convert to fraction form
    568,970/854,967 = 854,967/x
  3. Step 3: Cross multiply
    568,970x = 854,967 × 854,967
  4. Step 4: Simplify right side
    568,970x = 730,968,571,089
  5. Step 5: Solve for x
    x = 730,968,571,089/568,970
  6. Step 6: Final answer
    x = 1,284,722.52

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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.