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Finding the Third Proportional to 602.63 and 894.75

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Solution

The third proportional to 602.63 and 894.75 is: 1,328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.63 : 894.75 = 894.75 : x
  2. Step 2: Convert to fraction form
    602.63/894.75 = 894.75/x
  3. Step 3: Cross multiply
    602.63x = 894.75 × 894.75
  4. Step 4: Simplify right side
    602.63x = 800,577.56
  5. Step 5: Solve for x
    x = 800,577.56/602.63
  6. Step 6: Final answer
    x = 1,328.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.