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Finding the Third Proportional to 305,811 and 650,986.50

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Solution

The third proportional to 305,811 and 650,986.50 is: 1,385,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,811 : 650,986.50 = 650,986.50 : x
  2. Step 2: Convert to fraction form
    305,811/650,986.50 = 650,986.50/x
  3. Step 3: Cross multiply
    305,811x = 650,986.50 × 650,986.50
  4. Step 4: Simplify right side
    305,811x = 423,783,423,182.25
  5. Step 5: Solve for x
    x = 423,783,423,182.25/305,811
  6. Step 6: Final answer
    x = 1,385,769.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.