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Finding the Third Proportional to 233,667 and 508,338

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Solution

The third proportional to 233,667 and 508,338 is: 1,105,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,667 : 508,338 = 508,338 : x
  2. Step 2: Convert to fraction form
    233,667/508,338 = 508,338/x
  3. Step 3: Cross multiply
    233,667x = 508,338 × 508,338
  4. Step 4: Simplify right side
    233,667x = 258,407,522,244
  5. Step 5: Solve for x
    x = 258,407,522,244/233,667
  6. Step 6: Final answer
    x = 1,105,879.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.