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Finding the Third Proportional to 325,483 and 492,814.50

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Solution

The third proportional to 325,483 and 492,814.50 is: 746,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,483 : 492,814.50 = 492,814.50 : x
  2. Step 2: Convert to fraction form
    325,483/492,814.50 = 492,814.50/x
  3. Step 3: Cross multiply
    325,483x = 492,814.50 × 492,814.50
  4. Step 4: Simplify right side
    325,483x = 242,866,131,410.25
  5. Step 5: Solve for x
    x = 242,866,131,410.25/325,483
  6. Step 6: Final answer
    x = 746,171.48

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