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Finding the Third Proportional to 351,082 and 529,715

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Solution

The third proportional to 351,082 and 529,715 is: 799,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,082 : 529,715 = 529,715 : x
  2. Step 2: Convert to fraction form
    351,082/529,715 = 529,715/x
  3. Step 3: Cross multiply
    351,082x = 529,715 × 529,715
  4. Step 4: Simplify right side
    351,082x = 280,597,981,225
  5. Step 5: Solve for x
    x = 280,597,981,225/351,082
  6. Step 6: Final answer
    x = 799,237.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.