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Finding the Third Proportional to 569.44 and 1,043.96

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Solution

The third proportional to 569.44 and 1,043.96 is: 1,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.44 : 1,043.96 = 1,043.96 : x
  2. Step 2: Convert to fraction form
    569.44/1,043.96 = 1,043.96/x
  3. Step 3: Cross multiply
    569.44x = 1,043.96 × 1,043.96
  4. Step 4: Simplify right side
    569.44x = 1,089,861.44
  5. Step 5: Solve for x
    x = 1,089,861.44/569.44
  6. Step 6: Final answer
    x = 1,913.93

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.