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Finding the Third Proportional to 407,976 and 674,233.50

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Solution

The third proportional to 407,976 and 674,233.50 is: 1,114,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,976 : 674,233.50 = 674,233.50 : x
  2. Step 2: Convert to fraction form
    407,976/674,233.50 = 674,233.50/x
  3. Step 3: Cross multiply
    407,976x = 674,233.50 × 674,233.50
  4. Step 4: Simplify right side
    407,976x = 454,590,812,522.25
  5. Step 5: Solve for x
    x = 454,590,812,522.25/407,976
  6. Step 6: Final answer
    x = 1,114,258.71

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.