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Finding the Third Proportional to 405,627.75 and 587,526.75

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Solution

The third proportional to 405,627.75 and 587,526.75 is: 850,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,627.75 : 587,526.75 = 587,526.75 : x
  2. Step 2: Convert to fraction form
    405,627.75/587,526.75 = 587,526.75/x
  3. Step 3: Cross multiply
    405,627.75x = 587,526.75 × 587,526.75
  4. Step 4: Simplify right side
    405,627.75x = 345,187,681,965.56
  5. Step 5: Solve for x
    x = 345,187,681,965.56/405,627.75
  6. Step 6: Final answer
    x = 850,996.22

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