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Finding the Third Proportional to 405,635 and 587,524

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Solution

The third proportional to 405,635 and 587,524 is: 850,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,635 : 587,524 = 587,524 : x
  2. Step 2: Convert to fraction form
    405,635/587,524 = 587,524/x
  3. Step 3: Cross multiply
    405,635x = 587,524 × 587,524
  4. Step 4: Simplify right side
    405,635x = 345,184,450,576
  5. Step 5: Solve for x
    x = 345,184,450,576/405,635
  6. Step 6: Final answer
    x = 850,973.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.