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Finding the Third Proportional to 328,818 and 445,596

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Solution

The third proportional to 328,818 and 445,596 is: 603,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,818 : 445,596 = 445,596 : x
  2. Step 2: Convert to fraction form
    328,818/445,596 = 445,596/x
  3. Step 3: Cross multiply
    328,818x = 445,596 × 445,596
  4. Step 4: Simplify right side
    328,818x = 198,555,795,216
  5. Step 5: Solve for x
    x = 198,555,795,216/328,818
  6. Step 6: Final answer
    x = 603,847.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.