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Finding the Third Proportional to 589 and 661.50

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Solution

The third proportional to 589 and 661.50 is: 742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 661.50 = 661.50 : x
  2. Step 2: Convert to fraction form
    589/661.50 = 661.50/x
  3. Step 3: Cross multiply
    589x = 661.50 × 661.50
  4. Step 4: Simplify right side
    589x = 437,582.25
  5. Step 5: Solve for x
    x = 437,582.25/589
  6. Step 6: Final answer
    x = 742.92

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.