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Finding the Third Proportional to 297,000 and 393,825.38

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Solution

The third proportional to 297,000 and 393,825.38 is: 522,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,000 : 393,825.38 = 393,825.38 : x
  2. Step 2: Convert to fraction form
    297,000/393,825.38 = 393,825.38/x
  3. Step 3: Cross multiply
    297,000x = 393,825.38 × 393,825.38
  4. Step 4: Simplify right side
    297,000x = 155,098,425,993.89
  5. Step 5: Solve for x
    x = 155,098,425,993.89/297,000
  6. Step 6: Final answer
    x = 522,216.92

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.