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Finding the Third Proportional to 590.34 and 825.61

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Solution

The third proportional to 590.34 and 825.61 is: 1,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.34 : 825.61 = 825.61 : x
  2. Step 2: Convert to fraction form
    590.34/825.61 = 825.61/x
  3. Step 3: Cross multiply
    590.34x = 825.61 × 825.61
  4. Step 4: Simplify right side
    590.34x = 681,630.84
  5. Step 5: Solve for x
    x = 681,630.84/590.34
  6. Step 6: Final answer
    x = 1,154.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.