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Finding the Third Proportional to 339,230 and 524,786

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Solution

The third proportional to 339,230 and 524,786 is: 811,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,230 : 524,786 = 524,786 : x
  2. Step 2: Convert to fraction form
    339,230/524,786 = 524,786/x
  3. Step 3: Cross multiply
    339,230x = 524,786 × 524,786
  4. Step 4: Simplify right side
    339,230x = 275,400,345,796
  5. Step 5: Solve for x
    x = 275,400,345,796/339,230
  6. Step 6: Final answer
    x = 811,839.59

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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.