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Finding the Third Proportional to 276,723 and 417,626

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Solution

The third proportional to 276,723 and 417,626 is: 630,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,723 : 417,626 = 417,626 : x
  2. Step 2: Convert to fraction form
    276,723/417,626 = 417,626/x
  3. Step 3: Cross multiply
    276,723x = 417,626 × 417,626
  4. Step 4: Simplify right side
    276,723x = 174,411,475,876
  5. Step 5: Solve for x
    x = 174,411,475,876/276,723
  6. Step 6: Final answer
    x = 630,274.59

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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.