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Finding the Third Proportional to 321,793 and 437,031

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Solution

The third proportional to 321,793 and 437,031 is: 593,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,793 : 437,031 = 437,031 : x
  2. Step 2: Convert to fraction form
    321,793/437,031 = 437,031/x
  3. Step 3: Cross multiply
    321,793x = 437,031 × 437,031
  4. Step 4: Simplify right side
    321,793x = 190,996,094,961
  5. Step 5: Solve for x
    x = 190,996,094,961/321,793
  6. Step 6: Final answer
    x = 593,537.13

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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.