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Finding the Third Proportional to 339,230 and 523,533

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Solution

The third proportional to 339,230 and 523,533 is: 807,967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,230 : 523,533 = 523,533 : x
  2. Step 2: Convert to fraction form
    339,230/523,533 = 523,533/x
  3. Step 3: Cross multiply
    339,230x = 523,533 × 523,533
  4. Step 4: Simplify right side
    339,230x = 274,086,802,089
  5. Step 5: Solve for x
    x = 274,086,802,089/339,230
  6. Step 6: Final answer
    x = 807,967.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.