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Finding the Third Proportional to 301,086 and 454,180.50

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Solution

The third proportional to 301,086 and 454,180.50 is: 685,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,086 : 454,180.50 = 454,180.50 : x
  2. Step 2: Convert to fraction form
    301,086/454,180.50 = 454,180.50/x
  3. Step 3: Cross multiply
    301,086x = 454,180.50 × 454,180.50
  4. Step 4: Simplify right side
    301,086x = 206,279,926,580.25
  5. Step 5: Solve for x
    x = 206,279,926,580.25/301,086
  6. Step 6: Final answer
    x = 685,119.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.