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Finding the Third Proportional to 347,800 and 529,002

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Solution

The third proportional to 347,800 and 529,002 is: 804,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,800 : 529,002 = 529,002 : x
  2. Step 2: Convert to fraction form
    347,800/529,002 = 529,002/x
  3. Step 3: Cross multiply
    347,800x = 529,002 × 529,002
  4. Step 4: Simplify right side
    347,800x = 279,843,116,004
  5. Step 5: Solve for x
    x = 279,843,116,004/347,800
  6. Step 6: Final answer
    x = 804,609.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.