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Finding the Third Proportional to 464,775.75 and 985,344.75

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Solution

The third proportional to 464,775.75 and 985,344.75 is: 2,088,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,775.75 : 985,344.75 = 985,344.75 : x
  2. Step 2: Convert to fraction form
    464,775.75/985,344.75 = 985,344.75/x
  3. Step 3: Cross multiply
    464,775.75x = 985,344.75 × 985,344.75
  4. Step 4: Simplify right side
    464,775.75x = 970,904,276,352.56
  5. Step 5: Solve for x
    x = 970,904,276,352.56/464,775.75
  6. Step 6: Final answer
    x = 2,088,973.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.