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Finding the Third Proportional to 431,412.75 and 675,276.75

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Solution

The third proportional to 431,412.75 and 675,276.75 is: 1,056,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,412.75 : 675,276.75 = 675,276.75 : x
  2. Step 2: Convert to fraction form
    431,412.75/675,276.75 = 675,276.75/x
  3. Step 3: Cross multiply
    431,412.75x = 675,276.75 × 675,276.75
  4. Step 4: Simplify right side
    431,412.75x = 455,998,689,090.56
  5. Step 5: Solve for x
    x = 455,998,689,090.56/431,412.75
  6. Step 6: Final answer
    x = 1,056,989.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.