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Finding the Third Proportional to 254,836.13 and 531,338.06

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Solution

The third proportional to 254,836.13 and 531,338.06 is: 1,107,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,836.13 : 531,338.06 = 531,338.06 : x
  2. Step 2: Convert to fraction form
    254,836.13/531,338.06 = 531,338.06/x
  3. Step 3: Cross multiply
    254,836.13x = 531,338.06 × 531,338.06
  4. Step 4: Simplify right side
    254,836.13x = 282,320,136,661.25
  5. Step 5: Solve for x
    x = 282,320,136,661.25/254,836.13
  6. Step 6: Final answer
    x = 1,107,849.75

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.