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Finding the Third Proportional to 324,006 and 436,174.50

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Solution

The third proportional to 324,006 and 436,174.50 is: 587,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,006 : 436,174.50 = 436,174.50 : x
  2. Step 2: Convert to fraction form
    324,006/436,174.50 = 436,174.50/x
  3. Step 3: Cross multiply
    324,006x = 436,174.50 × 436,174.50
  4. Step 4: Simplify right side
    324,006x = 190,248,194,450.25
  5. Step 5: Solve for x
    x = 190,248,194,450.25/324,006
  6. Step 6: Final answer
    x = 587,174.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.