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Finding the Third Proportional to 588.67 and 890.60

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Solution

The third proportional to 588.67 and 890.60 is: 1,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.67 : 890.60 = 890.60 : x
  2. Step 2: Convert to fraction form
    588.67/890.60 = 890.60/x
  3. Step 3: Cross multiply
    588.67x = 890.60 × 890.60
  4. Step 4: Simplify right side
    588.67x = 793,176.36
  5. Step 5: Solve for x
    x = 793,176.36/588.67
  6. Step 6: Final answer
    x = 1,347.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.