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Finding the Third Proportional to 361,665 and 541,323

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Solution

The third proportional to 361,665 and 541,323 is: 810,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,665 : 541,323 = 541,323 : x
  2. Step 2: Convert to fraction form
    361,665/541,323 = 541,323/x
  3. Step 3: Cross multiply
    361,665x = 541,323 × 541,323
  4. Step 4: Simplify right side
    361,665x = 293,030,590,329
  5. Step 5: Solve for x
    x = 293,030,590,329/361,665
  6. Step 6: Final answer
    x = 810,226.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.