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Finding the Third Proportional to 213,667 and 455,933

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Solution

The third proportional to 213,667 and 455,933 is: 972,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,667 : 455,933 = 455,933 : x
  2. Step 2: Convert to fraction form
    213,667/455,933 = 455,933/x
  3. Step 3: Cross multiply
    213,667x = 455,933 × 455,933
  4. Step 4: Simplify right side
    213,667x = 207,874,900,489
  5. Step 5: Solve for x
    x = 207,874,900,489/213,667
  6. Step 6: Final answer
    x = 972,891.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.