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Finding the Third Proportional to 347,245 and 521,793

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Solution

The third proportional to 347,245 and 521,793 is: 784,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,245 : 521,793 = 521,793 : x
  2. Step 2: Convert to fraction form
    347,245/521,793 = 521,793/x
  3. Step 3: Cross multiply
    347,245x = 521,793 × 521,793
  4. Step 4: Simplify right side
    347,245x = 272,267,934,849
  5. Step 5: Solve for x
    x = 272,267,934,849/347,245
  6. Step 6: Final answer
    x = 784,080.22

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Why These Related Problems?

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