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Finding the Third Proportional to 339,133 and 524,879

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Solution

The third proportional to 339,133 and 524,879 is: 812,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,133 : 524,879 = 524,879 : x
  2. Step 2: Convert to fraction form
    339,133/524,879 = 524,879/x
  3. Step 3: Cross multiply
    339,133x = 524,879 × 524,879
  4. Step 4: Simplify right side
    339,133x = 275,497,964,641
  5. Step 5: Solve for x
    x = 275,497,964,641/339,133
  6. Step 6: Final answer
    x = 812,359.65

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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.