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Finding the Third Proportional to 480.66 and 846.56

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Solution

The third proportional to 480.66 and 846.56 is: 1,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.66 : 846.56 = 846.56 : x
  2. Step 2: Convert to fraction form
    480.66/846.56 = 846.56/x
  3. Step 3: Cross multiply
    480.66x = 846.56 × 846.56
  4. Step 4: Simplify right side
    480.66x = 716,668.07
  5. Step 5: Solve for x
    x = 716,668.07/480.66
  6. Step 6: Final answer
    x = 1,491.02

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.