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Finding the Third Proportional to 380,962 and 569,574

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Solution

The third proportional to 380,962 and 569,574 is: 851,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,962 : 569,574 = 569,574 : x
  2. Step 2: Convert to fraction form
    380,962/569,574 = 569,574/x
  3. Step 3: Cross multiply
    380,962x = 569,574 × 569,574
  4. Step 4: Simplify right side
    380,962x = 324,414,541,476
  5. Step 5: Solve for x
    x = 324,414,541,476/380,962
  6. Step 6: Final answer
    x = 851,566.67

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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.