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Finding the Third Proportional to 568,450 and 821,246

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Solution

The third proportional to 568,450 and 821,246 is: 1,186,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,450 : 821,246 = 821,246 : x
  2. Step 2: Convert to fraction form
    568,450/821,246 = 821,246/x
  3. Step 3: Cross multiply
    568,450x = 821,246 × 821,246
  4. Step 4: Simplify right side
    568,450x = 674,444,992,516
  5. Step 5: Solve for x
    x = 674,444,992,516/568,450
  6. Step 6: Final answer
    x = 1,186,463.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.