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Finding the Third Proportional to 376,876 and 528,186

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Solution

The third proportional to 376,876 and 528,186 is: 740,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,876 : 528,186 = 528,186 : x
  2. Step 2: Convert to fraction form
    376,876/528,186 = 528,186/x
  3. Step 3: Cross multiply
    376,876x = 528,186 × 528,186
  4. Step 4: Simplify right side
    376,876x = 278,980,450,596
  5. Step 5: Solve for x
    x = 278,980,450,596/376,876
  6. Step 6: Final answer
    x = 740,244.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.