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Finding the Third Proportional to 260,031 and 413,733

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Solution

The third proportional to 260,031 and 413,733 is: 658,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,031 : 413,733 = 413,733 : x
  2. Step 2: Convert to fraction form
    260,031/413,733 = 413,733/x
  3. Step 3: Cross multiply
    260,031x = 413,733 × 413,733
  4. Step 4: Simplify right side
    260,031x = 171,174,995,289
  5. Step 5: Solve for x
    x = 171,174,995,289/260,031
  6. Step 6: Final answer
    x = 658,286.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.