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Finding the Third Proportional to 458.72 and 938.67

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Solution

The third proportional to 458.72 and 938.67 is: 1,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.72 : 938.67 = 938.67 : x
  2. Step 2: Convert to fraction form
    458.72/938.67 = 938.67/x
  3. Step 3: Cross multiply
    458.72x = 938.67 × 938.67
  4. Step 4: Simplify right side
    458.72x = 881,104.89
  5. Step 5: Solve for x
    x = 881,104.89/458.72
  6. Step 6: Final answer
    x = 1,920.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.