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Finding the Third Proportional to 303,970.50 and 444,231

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Solution

The third proportional to 303,970.50 and 444,231 is: 649,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,970.50 : 444,231 = 444,231 : x
  2. Step 2: Convert to fraction form
    303,970.50/444,231 = 444,231/x
  3. Step 3: Cross multiply
    303,970.50x = 444,231 × 444,231
  4. Step 4: Simplify right side
    303,970.50x = 197,341,181,361
  5. Step 5: Solve for x
    x = 197,341,181,361/303,970.50
  6. Step 6: Final answer
    x = 649,211.62

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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.