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Finding the Third Proportional to 594.21 and 1,298.21

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Solution

The third proportional to 594.21 and 1,298.21 is: 2,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.21 : 1,298.21 = 1,298.21 : x
  2. Step 2: Convert to fraction form
    594.21/1,298.21 = 1,298.21/x
  3. Step 3: Cross multiply
    594.21x = 1,298.21 × 1,298.21
  4. Step 4: Simplify right side
    594.21x = 1,685,361.78
  5. Step 5: Solve for x
    x = 1,685,361.78/594.21
  6. Step 6: Final answer
    x = 2,836.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.