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Finding the Third Proportional to 254,975.75 and 554,989.75

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Solution

The third proportional to 254,975.75 and 554,989.75 is: 1,208,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,975.75 : 554,989.75 = 554,989.75 : x
  2. Step 2: Convert to fraction form
    254,975.75/554,989.75 = 554,989.75/x
  3. Step 3: Cross multiply
    254,975.75x = 554,989.75 × 554,989.75
  4. Step 4: Simplify right side
    254,975.75x = 308,013,622,605.06
  5. Step 5: Solve for x
    x = 308,013,622,605.06/254,975.75
  6. Step 6: Final answer
    x = 1,208,011.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.