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Finding the Third Proportional to 335,731.50 and 730,458

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Solution

The third proportional to 335,731.50 and 730,458 is: 1,589,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,731.50 : 730,458 = 730,458 : x
  2. Step 2: Convert to fraction form
    335,731.50/730,458 = 730,458/x
  3. Step 3: Cross multiply
    335,731.50x = 730,458 × 730,458
  4. Step 4: Simplify right side
    335,731.50x = 533,568,889,764
  5. Step 5: Solve for x
    x = 533,568,889,764/335,731.50
  6. Step 6: Final answer
    x = 1,589,272.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.