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Finding the Third Proportional to 261,321.75 and 554,043.75

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Solution

The third proportional to 261,321.75 and 554,043.75 is: 1,174,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,321.75 : 554,043.75 = 554,043.75 : x
  2. Step 2: Convert to fraction form
    261,321.75/554,043.75 = 554,043.75/x
  3. Step 3: Cross multiply
    261,321.75x = 554,043.75 × 554,043.75
  4. Step 4: Simplify right side
    261,321.75x = 306,964,476,914.06
  5. Step 5: Solve for x
    x = 306,964,476,914.06/261,321.75
  6. Step 6: Final answer
    x = 1,174,661.03

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.