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Finding the Third Proportional to 304,601 and 660,049

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Solution

The third proportional to 304,601 and 660,049 is: 1,430,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,601 : 660,049 = 660,049 : x
  2. Step 2: Convert to fraction form
    304,601/660,049 = 660,049/x
  3. Step 3: Cross multiply
    304,601x = 660,049 × 660,049
  4. Step 4: Simplify right side
    304,601x = 435,664,682,401
  5. Step 5: Solve for x
    x = 435,664,682,401/304,601
  6. Step 6: Final answer
    x = 1,430,279.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.