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Finding the Third Proportional to 263,520 and 397,596

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Solution

The third proportional to 263,520 and 397,596 is: 599,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,520 : 397,596 = 397,596 : x
  2. Step 2: Convert to fraction form
    263,520/397,596 = 397,596/x
  3. Step 3: Cross multiply
    263,520x = 397,596 × 397,596
  4. Step 4: Simplify right side
    263,520x = 158,082,579,216
  5. Step 5: Solve for x
    x = 158,082,579,216/263,520
  6. Step 6: Final answer
    x = 599,888.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.