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Finding the Third Proportional to 321,111 and 759,399.75

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Solution

The third proportional to 321,111 and 759,399.75 is: 1,795,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,111 : 759,399.75 = 759,399.75 : x
  2. Step 2: Convert to fraction form
    321,111/759,399.75 = 759,399.75/x
  3. Step 3: Cross multiply
    321,111x = 759,399.75 × 759,399.75
  4. Step 4: Simplify right side
    321,111x = 576,687,980,300.06
  5. Step 5: Solve for x
    x = 576,687,980,300.06/321,111
  6. Step 6: Final answer
    x = 1,795,914.75

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.