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Finding the Third Proportional to 325,422 and 492,723

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Solution

The third proportional to 325,422 and 492,723 is: 746,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,422 : 492,723 = 492,723 : x
  2. Step 2: Convert to fraction form
    325,422/492,723 = 492,723/x
  3. Step 3: Cross multiply
    325,422x = 492,723 × 492,723
  4. Step 4: Simplify right side
    325,422x = 242,775,954,729
  5. Step 5: Solve for x
    x = 242,775,954,729/325,422
  6. Step 6: Final answer
    x = 746,034.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.