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Finding the Third Proportional to 630.49 and 951.43

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Solution

The third proportional to 630.49 and 951.43 is: 1,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.49 : 951.43 = 951.43 : x
  2. Step 2: Convert to fraction form
    630.49/951.43 = 951.43/x
  3. Step 3: Cross multiply
    630.49x = 951.43 × 951.43
  4. Step 4: Simplify right side
    630.49x = 905,225.88
  5. Step 5: Solve for x
    x = 905,225.88/630.49
  6. Step 6: Final answer
    x = 1,435.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.