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Finding the Third Proportional to 261.25 and 594.63

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Solution

The third proportional to 261.25 and 594.63 is: 1,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.25 : 594.63 = 594.63 : x
  2. Step 2: Convert to fraction form
    261.25/594.63 = 594.63/x
  3. Step 3: Cross multiply
    261.25x = 594.63 × 594.63
  4. Step 4: Simplify right side
    261.25x = 353,578.89
  5. Step 5: Solve for x
    x = 353,578.89/261.25
  6. Step 6: Final answer
    x = 1,353.41

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.