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Finding the Third Proportional to 332,599.50 and 728,969.63

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Solution

The third proportional to 332,599.50 and 728,969.63 is: 1,597,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,599.50 : 728,969.63 = 728,969.63 : x
  2. Step 2: Convert to fraction form
    332,599.50/728,969.63 = 728,969.63/x
  3. Step 3: Cross multiply
    332,599.50x = 728,969.63 × 728,969.63
  4. Step 4: Simplify right side
    332,599.50x = 531,396,714,172.64
  5. Step 5: Solve for x
    x = 531,396,714,172.64/332,599.50
  6. Step 6: Final answer
    x = 1,597,707.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.