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Finding the Third Proportional to 204,054 and 440,896

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Solution

The third proportional to 204,054 and 440,896 is: 952,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,054 : 440,896 = 440,896 : x
  2. Step 2: Convert to fraction form
    204,054/440,896 = 440,896/x
  3. Step 3: Cross multiply
    204,054x = 440,896 × 440,896
  4. Step 4: Simplify right side
    204,054x = 194,389,282,816
  5. Step 5: Solve for x
    x = 194,389,282,816/204,054
  6. Step 6: Final answer
    x = 952,636.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.