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Finding the Third Proportional to 244,546 and 504,308

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Solution

The third proportional to 244,546 and 504,308 is: 1,039,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,546 : 504,308 = 504,308 : x
  2. Step 2: Convert to fraction form
    244,546/504,308 = 504,308/x
  3. Step 3: Cross multiply
    244,546x = 504,308 × 504,308
  4. Step 4: Simplify right side
    244,546x = 254,326,558,864
  5. Step 5: Solve for x
    x = 254,326,558,864/244,546
  6. Step 6: Final answer
    x = 1,039,994.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.