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Finding the Third Proportional to 650.25 and 974.81

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Solution

The third proportional to 650.25 and 974.81 is: 1,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.25 : 974.81 = 974.81 : x
  2. Step 2: Convert to fraction form
    650.25/974.81 = 974.81/x
  3. Step 3: Cross multiply
    650.25x = 974.81 × 974.81
  4. Step 4: Simplify right side
    650.25x = 950,259.41
  5. Step 5: Solve for x
    x = 950,259.41/650.25
  6. Step 6: Final answer
    x = 1,461.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.