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Finding the Third Proportional to 300,739.50 and 640,804.50

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Solution

The third proportional to 300,739.50 and 640,804.50 is: 1,365,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,739.50 : 640,804.50 = 640,804.50 : x
  2. Step 2: Convert to fraction form
    300,739.50/640,804.50 = 640,804.50/x
  3. Step 3: Cross multiply
    300,739.50x = 640,804.50 × 640,804.50
  4. Step 4: Simplify right side
    300,739.50x = 410,630,407,220.25
  5. Step 5: Solve for x
    x = 410,630,407,220.25/300,739.50
  6. Step 6: Final answer
    x = 1,365,402.31

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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.