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Finding the Third Proportional to 330,567.75 and 490,991.63

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Solution

The third proportional to 330,567.75 and 490,991.63 is: 729,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,567.75 : 490,991.63 = 490,991.63 : x
  2. Step 2: Convert to fraction form
    330,567.75/490,991.63 = 490,991.63/x
  3. Step 3: Cross multiply
    330,567.75x = 490,991.63 × 490,991.63
  4. Step 4: Simplify right side
    330,567.75x = 241,072,775,820.14
  5. Step 5: Solve for x
    x = 241,072,775,820.14/330,567.75
  6. Step 6: Final answer
    x = 729,268.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.