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Finding the Third Proportional to 276,915 and 605,082

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Solution

The third proportional to 276,915 and 605,082 is: 1,322,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,915 : 605,082 = 605,082 : x
  2. Step 2: Convert to fraction form
    276,915/605,082 = 605,082/x
  3. Step 3: Cross multiply
    276,915x = 605,082 × 605,082
  4. Step 4: Simplify right side
    276,915x = 366,124,226,724
  5. Step 5: Solve for x
    x = 366,124,226,724/276,915
  6. Step 6: Final answer
    x = 1,322,153.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.