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Finding the Third Proportional to 450.63 and 968.77

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Solution

The third proportional to 450.63 and 968.77 is: 2,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.63 : 968.77 = 968.77 : x
  2. Step 2: Convert to fraction form
    450.63/968.77 = 968.77/x
  3. Step 3: Cross multiply
    450.63x = 968.77 × 968.77
  4. Step 4: Simplify right side
    450.63x = 938,506.84
  5. Step 5: Solve for x
    x = 938,506.84/450.63
  6. Step 6: Final answer
    x = 2,082.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.