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Finding the Third Proportional to 262,880 and 595,964

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Solution

The third proportional to 262,880 and 595,964 is: 1,351,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,880 : 595,964 = 595,964 : x
  2. Step 2: Convert to fraction form
    262,880/595,964 = 595,964/x
  3. Step 3: Cross multiply
    262,880x = 595,964 × 595,964
  4. Step 4: Simplify right side
    262,880x = 355,173,089,296
  5. Step 5: Solve for x
    x = 355,173,089,296/262,880
  6. Step 6: Final answer
    x = 1,351,084.48

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.