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Finding the Third Proportional to 568,774 and 859,210

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Solution

The third proportional to 568,774 and 859,210 is: 1,297,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,774 : 859,210 = 859,210 : x
  2. Step 2: Convert to fraction form
    568,774/859,210 = 859,210/x
  3. Step 3: Cross multiply
    568,774x = 859,210 × 859,210
  4. Step 4: Simplify right side
    568,774x = 738,241,824,100
  5. Step 5: Solve for x
    x = 738,241,824,100/568,774
  6. Step 6: Final answer
    x = 1,297,952.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.