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Finding the Third Proportional to 347,082 and 524,321

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Solution

The third proportional to 347,082 and 524,321 is: 792,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,082 : 524,321 = 524,321 : x
  2. Step 2: Convert to fraction form
    347,082/524,321 = 524,321/x
  3. Step 3: Cross multiply
    347,082x = 524,321 × 524,321
  4. Step 4: Simplify right side
    347,082x = 274,912,511,041
  5. Step 5: Solve for x
    x = 274,912,511,041/347,082
  6. Step 6: Final answer
    x = 792,067.90

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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.