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Finding the Third Proportional to 290.46 and 434.74

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Solution

The third proportional to 290.46 and 434.74 is: 650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 434.74 = 434.74 : x
  2. Step 2: Convert to fraction form
    290.46/434.74 = 434.74/x
  3. Step 3: Cross multiply
    290.46x = 434.74 × 434.74
  4. Step 4: Simplify right side
    290.46x = 189,000.77
  5. Step 5: Solve for x
    x = 189,000.77/290.46
  6. Step 6: Final answer
    x = 650.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.