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Finding the Third Proportional to 244,766.81 and 379,793.81

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Solution

The third proportional to 244,766.81 and 379,793.81 is: 589,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,766.81 : 379,793.81 = 379,793.81 : x
  2. Step 2: Convert to fraction form
    244,766.81/379,793.81 = 379,793.81/x
  3. Step 3: Cross multiply
    244,766.81x = 379,793.81 × 379,793.81
  4. Step 4: Simplify right side
    244,766.81x = 144,243,340,013.29
  5. Step 5: Solve for x
    x = 144,243,340,013.29/244,766.81
  6. Step 6: Final answer
    x = 589,309.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.