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Finding the Third Proportional to 330,596 and 491,031

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Solution

The third proportional to 330,596 and 491,031 is: 729,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,596 : 491,031 = 491,031 : x
  2. Step 2: Convert to fraction form
    330,596/491,031 = 491,031/x
  3. Step 3: Cross multiply
    330,596x = 491,031 × 491,031
  4. Step 4: Simplify right side
    330,596x = 241,111,442,961
  5. Step 5: Solve for x
    x = 241,111,442,961/330,596
  6. Step 6: Final answer
    x = 729,323.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.