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Finding the Third Proportional to 632.67 and 1,477.55

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Solution

The third proportional to 632.67 and 1,477.55 is: 3,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.67 : 1,477.55 = 1,477.55 : x
  2. Step 2: Convert to fraction form
    632.67/1,477.55 = 1,477.55/x
  3. Step 3: Cross multiply
    632.67x = 1,477.55 × 1,477.55
  4. Step 4: Simplify right side
    632.67x = 2,183,144.77
  5. Step 5: Solve for x
    x = 2,183,144.77/632.67
  6. Step 6: Final answer
    x = 3,450.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.