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Finding the Third Proportional to 594.21 and 798.29

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Solution

The third proportional to 594.21 and 798.29 is: 1,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.21 : 798.29 = 798.29 : x
  2. Step 2: Convert to fraction form
    594.21/798.29 = 798.29/x
  3. Step 3: Cross multiply
    594.21x = 798.29 × 798.29
  4. Step 4: Simplify right side
    594.21x = 637,271.66
  5. Step 5: Solve for x
    x = 637,271.66/594.21
  6. Step 6: Final answer
    x = 1,072.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.