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Finding the Third Proportional to 380,902.92 and 852,039.84

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Solution

The third proportional to 380,902.92 and 852,039.84 is: 1,905,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,902.92 : 852,039.84 = 852,039.84 : x
  2. Step 2: Convert to fraction form
    380,902.92/852,039.84 = 852,039.84/x
  3. Step 3: Cross multiply
    380,902.92x = 852,039.84 × 852,039.84
  4. Step 4: Simplify right side
    380,902.92x = 725,971,895,337.52
  5. Step 5: Solve for x
    x = 725,971,895,337.52/380,902.92
  6. Step 6: Final answer
    x = 1,905,923.67

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.