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Finding the Third Proportional to 588 and 679.50

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Solution

The third proportional to 588 and 679.50 is: 785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    588 : 679.50 = 679.50 : x
  2. Step 2: Convert to fraction form
    588/679.50 = 679.50/x
  3. Step 3: Cross multiply
    588x = 679.50 × 679.50
  4. Step 4: Simplify right side
    588x = 461,720.25
  5. Step 5: Solve for x
    x = 461,720.25/588
  6. Step 6: Final answer
    x = 785.24

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.