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Finding the Third Proportional to 253,260 and 401,031

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Solution

The third proportional to 253,260 and 401,031 is: 635,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,260 : 401,031 = 401,031 : x
  2. Step 2: Convert to fraction form
    253,260/401,031 = 401,031/x
  3. Step 3: Cross multiply
    253,260x = 401,031 × 401,031
  4. Step 4: Simplify right side
    253,260x = 160,825,862,961
  5. Step 5: Solve for x
    x = 160,825,862,961/253,260
  6. Step 6: Final answer
    x = 635,022.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.