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Finding the Third Proportional to 339,150 and 524,904

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Solution

The third proportional to 339,150 and 524,904 is: 812,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,150 : 524,904 = 524,904 : x
  2. Step 2: Convert to fraction form
    339,150/524,904 = 524,904/x
  3. Step 3: Cross multiply
    339,150x = 524,904 × 524,904
  4. Step 4: Simplify right side
    339,150x = 275,524,209,216
  5. Step 5: Solve for x
    x = 275,524,209,216/339,150
  6. Step 6: Final answer
    x = 812,396.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.