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Finding the Third Proportional to 234,082 and 508,016

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Solution

The third proportional to 234,082 and 508,016 is: 1,102,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,082 : 508,016 = 508,016 : x
  2. Step 2: Convert to fraction form
    234,082/508,016 = 508,016/x
  3. Step 3: Cross multiply
    234,082x = 508,016 × 508,016
  4. Step 4: Simplify right side
    234,082x = 258,080,256,256
  5. Step 5: Solve for x
    x = 258,080,256,256/234,082
  6. Step 6: Final answer
    x = 1,102,520.72

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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.