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Finding the Third Proportional to 568,774 and 859,209

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Solution

The third proportional to 568,774 and 859,209 is: 1,297,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,774 : 859,209 = 859,209 : x
  2. Step 2: Convert to fraction form
    568,774/859,209 = 859,209/x
  3. Step 3: Cross multiply
    568,774x = 859,209 × 859,209
  4. Step 4: Simplify right side
    568,774x = 738,240,105,681
  5. Step 5: Solve for x
    x = 738,240,105,681/568,774
  6. Step 6: Final answer
    x = 1,297,949.81

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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.