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Finding the Third Proportional to 433,851.75 and 667,275.75

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Solution

The third proportional to 433,851.75 and 667,275.75 is: 1,026,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,851.75 : 667,275.75 = 667,275.75 : x
  2. Step 2: Convert to fraction form
    433,851.75/667,275.75 = 667,275.75/x
  3. Step 3: Cross multiply
    433,851.75x = 667,275.75 × 667,275.75
  4. Step 4: Simplify right side
    433,851.75x = 445,256,926,538.06
  5. Step 5: Solve for x
    x = 445,256,926,538.06/433,851.75
  6. Step 6: Final answer
    x = 1,026,288.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.