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Finding the Third Proportional to 594.84 and 1,189.69

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Solution

The third proportional to 594.84 and 1,189.69 is: 2,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.84 : 1,189.69 = 1,189.69 : x
  2. Step 2: Convert to fraction form
    594.84/1,189.69 = 1,189.69/x
  3. Step 3: Cross multiply
    594.84x = 1,189.69 × 1,189.69
  4. Step 4: Simplify right side
    594.84x = 1,415,356.35
  5. Step 5: Solve for x
    x = 1,415,356.35/594.84
  6. Step 6: Final answer
    x = 2,379.38

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.