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Finding the Third Proportional to 809.63 and 1,208.81

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Solution

The third proportional to 809.63 and 1,208.81 is: 1,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.63 : 1,208.81 = 1,208.81 : x
  2. Step 2: Convert to fraction form
    809.63/1,208.81 = 1,208.81/x
  3. Step 3: Cross multiply
    809.63x = 1,208.81 × 1,208.81
  4. Step 4: Simplify right side
    809.63x = 1,461,227.66
  5. Step 5: Solve for x
    x = 1,461,227.66/809.63
  6. Step 6: Final answer
    x = 1,804.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.