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Finding the Third Proportional to 450.38 and 598.63

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Solution

The third proportional to 450.38 and 598.63 is: 795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.38 : 598.63 = 598.63 : x
  2. Step 2: Convert to fraction form
    450.38/598.63 = 598.63/x
  3. Step 3: Cross multiply
    450.38x = 598.63 × 598.63
  4. Step 4: Simplify right side
    450.38x = 358,351.89
  5. Step 5: Solve for x
    x = 358,351.89/450.38
  6. Step 6: Final answer
    x = 795.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.