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Finding the Third Proportional to 630.94 and 968.48

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Solution

The third proportional to 630.94 and 968.48 is: 1,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.94 : 968.48 = 968.48 : x
  2. Step 2: Convert to fraction form
    630.94/968.48 = 968.48/x
  3. Step 3: Cross multiply
    630.94x = 968.48 × 968.48
  4. Step 4: Simplify right side
    630.94x = 937,961.98
  5. Step 5: Solve for x
    x = 937,961.98/630.94
  6. Step 6: Final answer
    x = 1,486.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.