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Finding the Third Proportional to 188,897 and 411,024

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Solution

The third proportional to 188,897 and 411,024 is: 894,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,897 : 411,024 = 411,024 : x
  2. Step 2: Convert to fraction form
    188,897/411,024 = 411,024/x
  3. Step 3: Cross multiply
    188,897x = 411,024 × 411,024
  4. Step 4: Simplify right side
    188,897x = 168,940,728,576
  5. Step 5: Solve for x
    x = 168,940,728,576/188,897
  6. Step 6: Final answer
    x = 894,353.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.