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Finding the Third Proportional to 233,886 and 513,801

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Solution

The third proportional to 233,886 and 513,801 is: 1,128,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,886 : 513,801 = 513,801 : x
  2. Step 2: Convert to fraction form
    233,886/513,801 = 513,801/x
  3. Step 3: Cross multiply
    233,886x = 513,801 × 513,801
  4. Step 4: Simplify right side
    233,886x = 263,991,467,601
  5. Step 5: Solve for x
    x = 263,991,467,601/233,886
  6. Step 6: Final answer
    x = 1,128,718.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.