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Finding the Third Proportional to 421,324.31 and 596,161.13

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Solution

The third proportional to 421,324.31 and 596,161.13 is: 843,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,324.31 : 596,161.13 = 596,161.13 : x
  2. Step 2: Convert to fraction form
    421,324.31/596,161.13 = 596,161.13/x
  3. Step 3: Cross multiply
    421,324.31x = 596,161.13 × 596,161.13
  4. Step 4: Simplify right side
    421,324.31x = 355,408,086,961.27
  5. Step 5: Solve for x
    x = 355,408,086,961.27/421,324.31
  6. Step 6: Final answer
    x = 843,549.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.