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Finding the Third Proportional to 276,817 and 603,662

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Solution

The third proportional to 276,817 and 603,662 is: 1,316,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,817 : 603,662 = 603,662 : x
  2. Step 2: Convert to fraction form
    276,817/603,662 = 603,662/x
  3. Step 3: Cross multiply
    276,817x = 603,662 × 603,662
  4. Step 4: Simplify right side
    276,817x = 364,407,810,244
  5. Step 5: Solve for x
    x = 364,407,810,244/276,817
  6. Step 6: Final answer
    x = 1,316,421.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.