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Finding the Third Proportional to 236,914 and 559,274

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Solution

The third proportional to 236,914 and 559,274 is: 1,320,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,914 : 559,274 = 559,274 : x
  2. Step 2: Convert to fraction form
    236,914/559,274 = 559,274/x
  3. Step 3: Cross multiply
    236,914x = 559,274 × 559,274
  4. Step 4: Simplify right side
    236,914x = 312,787,407,076
  5. Step 5: Solve for x
    x = 312,787,407,076/236,914
  6. Step 6: Final answer
    x = 1,320,257.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.