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Finding the Third Proportional to 236,920 and 559,286

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Solution

The third proportional to 236,920 and 559,286 is: 1,320,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,920 : 559,286 = 559,286 : x
  2. Step 2: Convert to fraction form
    236,920/559,286 = 559,286/x
  3. Step 3: Cross multiply
    236,920x = 559,286 × 559,286
  4. Step 4: Simplify right side
    236,920x = 312,800,829,796
  5. Step 5: Solve for x
    x = 312,800,829,796/236,920
  6. Step 6: Final answer
    x = 1,320,280.39

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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.