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Finding the Third Proportional to 347,082.75 and 524,322.56

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Solution

The third proportional to 347,082.75 and 524,322.56 is: 792,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,082.75 : 524,322.56 = 524,322.56 : x
  2. Step 2: Convert to fraction form
    347,082.75/524,322.56 = 524,322.56/x
  3. Step 3: Cross multiply
    347,082.75x = 524,322.56 × 524,322.56
  4. Step 4: Simplify right side
    347,082.75x = 274,914,149,546.57
  5. Step 5: Solve for x
    x = 274,914,149,546.57/347,082.75
  6. Step 6: Final answer
    x = 792,070.91

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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.