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Finding the Third Proportional to 289.83 and 630.91

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Solution

The third proportional to 289.83 and 630.91 is: 1,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.83 : 630.91 = 630.91 : x
  2. Step 2: Convert to fraction form
    289.83/630.91 = 630.91/x
  3. Step 3: Cross multiply
    289.83x = 630.91 × 630.91
  4. Step 4: Simplify right side
    289.83x = 398,052.55
  5. Step 5: Solve for x
    x = 398,052.55/289.83
  6. Step 6: Final answer
    x = 1,373.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.