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Finding the Third Proportional to 347,418.75 and 519,082.88

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Solution

The third proportional to 347,418.75 and 519,082.88 is: 775,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,418.75 : 519,082.88 = 519,082.88 : x
  2. Step 2: Convert to fraction form
    347,418.75/519,082.88 = 519,082.88/x
  3. Step 3: Cross multiply
    347,418.75x = 519,082.88 × 519,082.88
  4. Step 4: Simplify right side
    347,418.75x = 269,447,031,118.27
  5. Step 5: Solve for x
    x = 269,447,031,118.27/347,418.75
  6. Step 6: Final answer
    x = 775,568.48

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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.