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Finding the Third Proportional to 339,226.31 and 524,780.44

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Solution

The third proportional to 339,226.31 and 524,780.44 is: 811,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,226.31 : 524,780.44 = 524,780.44 : x
  2. Step 2: Convert to fraction form
    339,226.31/524,780.44 = 524,780.44/x
  3. Step 3: Cross multiply
    339,226.31x = 524,780.44 × 524,780.44
  4. Step 4: Simplify right side
    339,226.31x = 275,394,507,582.69
  5. Step 5: Solve for x
    x = 275,394,507,582.69/339,226.31
  6. Step 6: Final answer
    x = 811,831.21

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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.