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Finding the Third Proportional to 233,530 and 369,843

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Solution

The third proportional to 233,530 and 369,843 is: 585,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,530 : 369,843 = 369,843 : x
  2. Step 2: Convert to fraction form
    233,530/369,843 = 369,843/x
  3. Step 3: Cross multiply
    233,530x = 369,843 × 369,843
  4. Step 4: Simplify right side
    233,530x = 136,783,844,649
  5. Step 5: Solve for x
    x = 136,783,844,649/233,530
  6. Step 6: Final answer
    x = 585,722.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.