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Finding the Third Proportional to 255,474 and 554,415.75

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Solution

The third proportional to 255,474 and 554,415.75 is: 1,203,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,474 : 554,415.75 = 554,415.75 : x
  2. Step 2: Convert to fraction form
    255,474/554,415.75 = 554,415.75/x
  3. Step 3: Cross multiply
    255,474x = 554,415.75 × 554,415.75
  4. Step 4: Simplify right side
    255,474x = 307,376,823,848.06
  5. Step 5: Solve for x
    x = 307,376,823,848.06/255,474
  6. Step 6: Final answer
    x = 1,203,162.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.