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Finding the Third Proportional to 471,723.75 and 628,485.75

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Solution

The third proportional to 471,723.75 and 628,485.75 is: 837,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,723.75 : 628,485.75 = 628,485.75 : x
  2. Step 2: Convert to fraction form
    471,723.75/628,485.75 = 628,485.75/x
  3. Step 3: Cross multiply
    471,723.75x = 628,485.75 × 628,485.75
  4. Step 4: Simplify right side
    471,723.75x = 394,994,337,953.06
  5. Step 5: Solve for x
    x = 394,994,337,953.06/471,723.75
  6. Step 6: Final answer
    x = 837,342.49

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.