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Finding the Third Proportional to 383,940 and 571,910

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Solution

The third proportional to 383,940 and 571,910 is: 851,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,940 : 571,910 = 571,910 : x
  2. Step 2: Convert to fraction form
    383,940/571,910 = 571,910/x
  3. Step 3: Cross multiply
    383,940x = 571,910 × 571,910
  4. Step 4: Simplify right side
    383,940x = 327,081,048,100
  5. Step 5: Solve for x
    x = 327,081,048,100/383,940
  6. Step 6: Final answer
    x = 851,906.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.