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Finding the Third Proportional to 650.25 and 974.95

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Solution

The third proportional to 650.25 and 974.95 is: 1,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.25 : 974.95 = 974.95 : x
  2. Step 2: Convert to fraction form
    650.25/974.95 = 974.95/x
  3. Step 3: Cross multiply
    650.25x = 974.95 × 974.95
  4. Step 4: Simplify right side
    650.25x = 950,533.60
  5. Step 5: Solve for x
    x = 950,533.60/650.25
  6. Step 6: Final answer
    x = 1,461.80

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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.