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Finding the Third Proportional to 559.69 and 1,035.84

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Solution

The third proportional to 559.69 and 1,035.84 is: 1,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.69 : 1,035.84 = 1,035.84 : x
  2. Step 2: Convert to fraction form
    559.69/1,035.84 = 1,035.84/x
  3. Step 3: Cross multiply
    559.69x = 1,035.84 × 1,035.84
  4. Step 4: Simplify right side
    559.69x = 1,072,972.27
  5. Step 5: Solve for x
    x = 1,072,972.27/559.69
  6. Step 6: Final answer
    x = 1,917.09

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.