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Finding the Third Proportional to 225,771 and 493,520

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Solution

The third proportional to 225,771 and 493,520 is: 1,078,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,771 : 493,520 = 493,520 : x
  2. Step 2: Convert to fraction form
    225,771/493,520 = 493,520/x
  3. Step 3: Cross multiply
    225,771x = 493,520 × 493,520
  4. Step 4: Simplify right side
    225,771x = 243,561,990,400
  5. Step 5: Solve for x
    x = 243,561,990,400/225,771
  6. Step 6: Final answer
    x = 1,078,801.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.