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Finding the Third Proportional to 347,401 and 521,937

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Solution

The third proportional to 347,401 and 521,937 is: 784,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,401 : 521,937 = 521,937 : x
  2. Step 2: Convert to fraction form
    347,401/521,937 = 521,937/x
  3. Step 3: Cross multiply
    347,401x = 521,937 × 521,937
  4. Step 4: Simplify right side
    347,401x = 272,418,231,969
  5. Step 5: Solve for x
    x = 272,418,231,969/347,401
  6. Step 6: Final answer
    x = 784,160.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.