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Finding the Third Proportional to 236,923 and 559,295

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Solution

The third proportional to 236,923 and 559,295 is: 1,320,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,923 : 559,295 = 559,295 : x
  2. Step 2: Convert to fraction form
    236,923/559,295 = 559,295/x
  3. Step 3: Cross multiply
    236,923x = 559,295 × 559,295
  4. Step 4: Simplify right side
    236,923x = 312,810,897,025
  5. Step 5: Solve for x
    x = 312,810,897,025/236,923
  6. Step 6: Final answer
    x = 1,320,306.16

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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.