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Finding the Third Proportional to 225,664 and 486,593

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Solution

The third proportional to 225,664 and 486,593 is: 1,049,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,664 : 486,593 = 486,593 : x
  2. Step 2: Convert to fraction form
    225,664/486,593 = 486,593/x
  3. Step 3: Cross multiply
    225,664x = 486,593 × 486,593
  4. Step 4: Simplify right side
    225,664x = 236,772,747,649
  5. Step 5: Solve for x
    x = 236,772,747,649/225,664
  6. Step 6: Final answer
    x = 1,049,226.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.