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Finding the Third Proportional to 430.69 and 658.88

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Solution

The third proportional to 430.69 and 658.88 is: 1,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.69 : 658.88 = 658.88 : x
  2. Step 2: Convert to fraction form
    430.69/658.88 = 658.88/x
  3. Step 3: Cross multiply
    430.69x = 658.88 × 658.88
  4. Step 4: Simplify right side
    430.69x = 434,116.27
  5. Step 5: Solve for x
    x = 434,116.27/430.69
  6. Step 6: Final answer
    x = 1,007.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.