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Finding the Third Proportional to 446 and 670

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Solution

The third proportional to 446 and 670 is: 1,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    446 : 670 = 670 : x
  2. Step 2: Convert to fraction form
    446/670 = 670/x
  3. Step 3: Cross multiply
    446x = 670 × 670
  4. Step 4: Simplify right side
    446x = 448,900
  5. Step 5: Solve for x
    x = 448,900/446
  6. Step 6: Final answer
    x = 1,006.50

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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.