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Finding the Third Proportional to 225,234 and 485,380

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Solution

The third proportional to 225,234 and 485,380 is: 1,045,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,234 : 485,380 = 485,380 : x
  2. Step 2: Convert to fraction form
    225,234/485,380 = 485,380/x
  3. Step 3: Cross multiply
    225,234x = 485,380 × 485,380
  4. Step 4: Simplify right side
    225,234x = 235,593,744,400
  5. Step 5: Solve for x
    x = 235,593,744,400/225,234
  6. Step 6: Final answer
    x = 1,045,995.47

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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.