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Finding the Third Proportional to 254,866 and 554,036

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Solution

The third proportional to 254,866 and 554,036 is: 1,204,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,866 : 554,036 = 554,036 : x
  2. Step 2: Convert to fraction form
    254,866/554,036 = 554,036/x
  3. Step 3: Cross multiply
    254,866x = 554,036 × 554,036
  4. Step 4: Simplify right side
    254,866x = 306,955,889,296
  5. Step 5: Solve for x
    x = 306,955,889,296/254,866
  6. Step 6: Final answer
    x = 1,204,381.48

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Why These Related Problems?

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