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Finding the Third Proportional to 405.98 and 673.52

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Solution

The third proportional to 405.98 and 673.52 is: 1,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.98 : 673.52 = 673.52 : x
  2. Step 2: Convert to fraction form
    405.98/673.52 = 673.52/x
  3. Step 3: Cross multiply
    405.98x = 673.52 × 673.52
  4. Step 4: Simplify right side
    405.98x = 453,633.82
  5. Step 5: Solve for x
    x = 453,633.82/405.98
  6. Step 6: Final answer
    x = 1,117.37

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.