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Finding the Third Proportional to 207,758 and 325,449

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Solution

The third proportional to 207,758 and 325,449 is: 509,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,758 : 325,449 = 325,449 : x
  2. Step 2: Convert to fraction form
    207,758/325,449 = 325,449/x
  3. Step 3: Cross multiply
    207,758x = 325,449 × 325,449
  4. Step 4: Simplify right side
    207,758x = 105,917,051,601
  5. Step 5: Solve for x
    x = 105,917,051,601/207,758
  6. Step 6: Final answer
    x = 509,809.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.