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Finding the Third Proportional to 306,987.75 and 471,202.88

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Solution

The third proportional to 306,987.75 and 471,202.88 is: 723,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,987.75 : 471,202.88 = 471,202.88 : x
  2. Step 2: Convert to fraction form
    306,987.75/471,202.88 = 471,202.88/x
  3. Step 3: Cross multiply
    306,987.75x = 471,202.88 × 471,202.88
  4. Step 4: Simplify right side
    306,987.75x = 222,032,149,408.27
  5. Step 5: Solve for x
    x = 222,032,149,408.27/306,987.75
  6. Step 6: Final answer
    x = 723,260.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.