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Finding the Third Proportional to 334,404 and 523,800

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Solution

The third proportional to 334,404 and 523,800 is: 820,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,404 : 523,800 = 523,800 : x
  2. Step 2: Convert to fraction form
    334,404/523,800 = 523,800/x
  3. Step 3: Cross multiply
    334,404x = 523,800 × 523,800
  4. Step 4: Simplify right side
    334,404x = 274,366,440,000
  5. Step 5: Solve for x
    x = 274,366,440,000/334,404
  6. Step 6: Final answer
    x = 820,463.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.