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Finding the Third Proportional to 289,313 and 444,965

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Solution

The third proportional to 289,313 and 444,965 is: 684,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,313 : 444,965 = 444,965 : x
  2. Step 2: Convert to fraction form
    289,313/444,965 = 444,965/x
  3. Step 3: Cross multiply
    289,313x = 444,965 × 444,965
  4. Step 4: Simplify right side
    289,313x = 197,993,851,225
  5. Step 5: Solve for x
    x = 197,993,851,225/289,313
  6. Step 6: Final answer
    x = 684,358.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.