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Finding the Third Proportional to 264,310 and 397,634

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Solution

The third proportional to 264,310 and 397,634 is: 598,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,310 : 397,634 = 397,634 : x
  2. Step 2: Convert to fraction form
    264,310/397,634 = 397,634/x
  3. Step 3: Cross multiply
    264,310x = 397,634 × 397,634
  4. Step 4: Simplify right side
    264,310x = 158,112,797,956
  5. Step 5: Solve for x
    x = 158,112,797,956/264,310
  6. Step 6: Final answer
    x = 598,209.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.