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Finding the Third Proportional to 446.63 and 717.19

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Solution

The third proportional to 446.63 and 717.19 is: 1,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.63 : 717.19 = 717.19 : x
  2. Step 2: Convert to fraction form
    446.63/717.19 = 717.19/x
  3. Step 3: Cross multiply
    446.63x = 717.19 × 717.19
  4. Step 4: Simplify right side
    446.63x = 514,357.91
  5. Step 5: Solve for x
    x = 514,357.91/446.63
  6. Step 6: Final answer
    x = 1,151.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.