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Finding the Third Proportional to 431,035 and 936,679.25

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Solution

The third proportional to 431,035 and 936,679.25 is: 2,035,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,035 : 936,679.25 = 936,679.25 : x
  2. Step 2: Convert to fraction form
    431,035/936,679.25 = 936,679.25/x
  3. Step 3: Cross multiply
    431,035x = 936,679.25 × 936,679.25
  4. Step 4: Simplify right side
    431,035x = 877,368,017,380.56
  5. Step 5: Solve for x
    x = 877,368,017,380.56/431,035
  6. Step 6: Final answer
    x = 2,035,491.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.