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Finding the Third Proportional to 443.63 and 650.63

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Solution

The third proportional to 443.63 and 650.63 is: 954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.63 : 650.63 = 650.63 : x
  2. Step 2: Convert to fraction form
    443.63/650.63 = 650.63/x
  3. Step 3: Cross multiply
    443.63x = 650.63 × 650.63
  4. Step 4: Simplify right side
    443.63x = 423,312.89
  5. Step 5: Solve for x
    x = 423,312.89/443.63
  6. Step 6: Final answer
    x = 954.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.