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Finding the Third Proportional to 212,089 and 438,941

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Solution

The third proportional to 212,089 and 438,941 is: 908,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,089 : 438,941 = 438,941 : x
  2. Step 2: Convert to fraction form
    212,089/438,941 = 438,941/x
  3. Step 3: Cross multiply
    212,089x = 438,941 × 438,941
  4. Step 4: Simplify right side
    212,089x = 192,669,201,481
  5. Step 5: Solve for x
    x = 192,669,201,481/212,089
  6. Step 6: Final answer
    x = 908,435.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.