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Finding the Third Proportional to 336,722 and 748,183

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Solution

The third proportional to 336,722 and 748,183 is: 1,662,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,722 : 748,183 = 748,183 : x
  2. Step 2: Convert to fraction form
    336,722/748,183 = 748,183/x
  3. Step 3: Cross multiply
    336,722x = 748,183 × 748,183
  4. Step 4: Simplify right side
    336,722x = 559,777,801,489
  5. Step 5: Solve for x
    x = 559,777,801,489/336,722
  6. Step 6: Final answer
    x = 1,662,433.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.