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Finding the Third Proportional to 241,156 and 504,344

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Solution

The third proportional to 241,156 and 504,344 is: 1,054,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,156 : 504,344 = 504,344 : x
  2. Step 2: Convert to fraction form
    241,156/504,344 = 504,344/x
  3. Step 3: Cross multiply
    241,156x = 504,344 × 504,344
  4. Step 4: Simplify right side
    241,156x = 254,362,870,336
  5. Step 5: Solve for x
    x = 254,362,870,336/241,156
  6. Step 6: Final answer
    x = 1,054,764.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.