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Finding the Third Proportional to 784.69 and 1,817.44

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Solution

The third proportional to 784.69 and 1,817.44 is: 4,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.69 : 1,817.44 = 1,817.44 : x
  2. Step 2: Convert to fraction form
    784.69/1,817.44 = 1,817.44/x
  3. Step 3: Cross multiply
    784.69x = 1,817.44 × 1,817.44
  4. Step 4: Simplify right side
    784.69x = 3,303,079.07
  5. Step 5: Solve for x
    x = 3,303,079.07/784.69
  6. Step 6: Final answer
    x = 4,209.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.