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Finding the Third Proportional to 225,025 and 480,181

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Solution

The third proportional to 225,025 and 480,181 is: 1,024,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,025 : 480,181 = 480,181 : x
  2. Step 2: Convert to fraction form
    225,025/480,181 = 480,181/x
  3. Step 3: Cross multiply
    225,025x = 480,181 × 480,181
  4. Step 4: Simplify right side
    225,025x = 230,573,792,761
  5. Step 5: Solve for x
    x = 230,573,792,761/225,025
  6. Step 6: Final answer
    x = 1,024,658.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.