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Finding the Third Proportional to 276,922 and 595,964

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Solution

The third proportional to 276,922 and 595,964 is: 1,282,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,922 : 595,964 = 595,964 : x
  2. Step 2: Convert to fraction form
    276,922/595,964 = 595,964/x
  3. Step 3: Cross multiply
    276,922x = 595,964 × 595,964
  4. Step 4: Simplify right side
    276,922x = 355,173,089,296
  5. Step 5: Solve for x
    x = 355,173,089,296/276,922
  6. Step 6: Final answer
    x = 1,282,574.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.