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Finding the Third Proportional to 480,589.88 and 1,023,296.63

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Solution

The third proportional to 480,589.88 and 1,023,296.63 is: 2,178,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,589.88 : 1,023,296.63 = 1,023,296.63 : x
  2. Step 2: Convert to fraction form
    480,589.88/1,023,296.63 = 1,023,296.63/x
  3. Step 3: Cross multiply
    480,589.88x = 1,023,296.63 × 1,023,296.63
  4. Step 4: Simplify right side
    480,589.88x = 1,047,135,982,736.39
  5. Step 5: Solve for x
    x = 1,047,135,982,736.39/480,589.88
  6. Step 6: Final answer
    x = 2,178,855.69

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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.