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Finding the Third Proportional to 325,487 and 492,821

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Solution

The third proportional to 325,487 and 492,821 is: 746,181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,487 : 492,821 = 492,821 : x
  2. Step 2: Convert to fraction form
    325,487/492,821 = 492,821/x
  3. Step 3: Cross multiply
    325,487x = 492,821 × 492,821
  4. Step 4: Simplify right side
    325,487x = 242,872,538,041
  5. Step 5: Solve for x
    x = 242,872,538,041/325,487
  6. Step 6: Final answer
    x = 746,181.99

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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.