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Finding the Third Proportional to 591,231.75 and 901,609.13

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Solution

The third proportional to 591,231.75 and 901,609.13 is: 1,374,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,231.75 : 901,609.13 = 901,609.13 : x
  2. Step 2: Convert to fraction form
    591,231.75/901,609.13 = 901,609.13/x
  3. Step 3: Cross multiply
    591,231.75x = 901,609.13 × 901,609.13
  4. Step 4: Simplify right side
    591,231.75x = 812,899,014,283.27
  5. Step 5: Solve for x
    x = 812,899,014,283.27/591,231.75
  6. Step 6: Final answer
    x = 1,374,924.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.