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Finding the Third Proportional to 285,780 and 603,636

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Solution

The third proportional to 285,780 and 603,636 is: 1,275,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,780 : 603,636 = 603,636 : x
  2. Step 2: Convert to fraction form
    285,780/603,636 = 603,636/x
  3. Step 3: Cross multiply
    285,780x = 603,636 × 603,636
  4. Step 4: Simplify right side
    285,780x = 364,376,420,496
  5. Step 5: Solve for x
    x = 364,376,420,496/285,780
  6. Step 6: Final answer
    x = 1,275,024.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.