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Finding the Third Proportional to 303,966.75 and 444,225.38

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Solution

The third proportional to 303,966.75 and 444,225.38 is: 649,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,966.75 : 444,225.38 = 444,225.38 : x
  2. Step 2: Convert to fraction form
    303,966.75/444,225.38 = 444,225.38/x
  3. Step 3: Cross multiply
    303,966.75x = 444,225.38 × 444,225.38
  4. Step 4: Simplify right side
    303,966.75x = 197,336,183,793.89
  5. Step 5: Solve for x
    x = 197,336,183,793.89/303,966.75
  6. Step 6: Final answer
    x = 649,203.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.