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Finding the Third Proportional to 383,944 and 571,916

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Solution

The third proportional to 383,944 and 571,916 is: 851,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,944 : 571,916 = 571,916 : x
  2. Step 2: Convert to fraction form
    383,944/571,916 = 571,916/x
  3. Step 3: Cross multiply
    383,944x = 571,916 × 571,916
  4. Step 4: Simplify right side
    383,944x = 327,087,911,056
  5. Step 5: Solve for x
    x = 327,087,911,056/383,944
  6. Step 6: Final answer
    x = 851,915.67

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Why These Related Problems?

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