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Finding the Third Proportional to 383.06 and 586.59

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Solution

The third proportional to 383.06 and 586.59 is: 898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 586.59 = 586.59 : x
  2. Step 2: Convert to fraction form
    383.06/586.59 = 586.59/x
  3. Step 3: Cross multiply
    383.06x = 586.59 × 586.59
  4. Step 4: Simplify right side
    383.06x = 344,092.23
  5. Step 5: Solve for x
    x = 344,092.23/383.06
  6. Step 6: Final answer
    x = 898.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.