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Finding the Third Proportional to 225,096 and 480,324

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Solution

The third proportional to 225,096 and 480,324 is: 1,024,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,096 : 480,324 = 480,324 : x
  2. Step 2: Convert to fraction form
    225,096/480,324 = 480,324/x
  3. Step 3: Cross multiply
    225,096x = 480,324 × 480,324
  4. Step 4: Simplify right side
    225,096x = 230,711,144,976
  5. Step 5: Solve for x
    x = 230,711,144,976/225,096
  6. Step 6: Final answer
    x = 1,024,945.56

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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.