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Finding the Third Proportional to 380,958 and 569,568

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Solution

The third proportional to 380,958 and 569,568 is: 851,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,958 : 569,568 = 569,568 : x
  2. Step 2: Convert to fraction form
    380,958/569,568 = 569,568/x
  3. Step 3: Cross multiply
    380,958x = 569,568 × 569,568
  4. Step 4: Simplify right side
    380,958x = 324,407,706,624
  5. Step 5: Solve for x
    x = 324,407,706,624/380,958
  6. Step 6: Final answer
    x = 851,557.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.