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Finding the Third Proportional to 568,968 and 854,964

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Solution

The third proportional to 568,968 and 854,964 is: 1,284,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,968 : 854,964 = 854,964 : x
  2. Step 2: Convert to fraction form
    568,968/854,964 = 854,964/x
  3. Step 3: Cross multiply
    568,968x = 854,964 × 854,964
  4. Step 4: Simplify right side
    568,968x = 730,963,441,296
  5. Step 5: Solve for x
    x = 730,963,441,296/568,968
  6. Step 6: Final answer
    x = 1,284,718.02

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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.