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Finding the Third Proportional to 236,928 and 559,305

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Solution

The third proportional to 236,928 and 559,305 is: 1,320,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,928 : 559,305 = 559,305 : x
  2. Step 2: Convert to fraction form
    236,928/559,305 = 559,305/x
  3. Step 3: Cross multiply
    236,928x = 559,305 × 559,305
  4. Step 4: Simplify right side
    236,928x = 312,822,083,025
  5. Step 5: Solve for x
    x = 312,822,083,025/236,928
  6. Step 6: Final answer
    x = 1,320,325.51

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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.