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Finding the Third Proportional to 325,298 and 492,483

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Solution

The third proportional to 325,298 and 492,483 is: 745,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,298 : 492,483 = 492,483 : x
  2. Step 2: Convert to fraction form
    325,298/492,483 = 492,483/x
  3. Step 3: Cross multiply
    325,298x = 492,483 × 492,483
  4. Step 4: Simplify right side
    325,298x = 242,539,505,289
  5. Step 5: Solve for x
    x = 242,539,505,289/325,298
  6. Step 6: Final answer
    x = 745,591.75

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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.