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Finding the Third Proportional to 321,794 and 437,033

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Solution

The third proportional to 321,794 and 437,033 is: 593,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,794 : 437,033 = 437,033 : x
  2. Step 2: Convert to fraction form
    321,794/437,033 = 437,033/x
  3. Step 3: Cross multiply
    321,794x = 437,033 × 437,033
  4. Step 4: Simplify right side
    321,794x = 190,997,843,089
  5. Step 5: Solve for x
    x = 190,997,843,089/321,794
  6. Step 6: Final answer
    x = 593,540.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.