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Finding the Third Proportional to 461.64 and 1,028.64

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Solution

The third proportional to 461.64 and 1,028.64 is: 2,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.64 : 1,028.64 = 1,028.64 : x
  2. Step 2: Convert to fraction form
    461.64/1,028.64 = 1,028.64/x
  3. Step 3: Cross multiply
    461.64x = 1,028.64 × 1,028.64
  4. Step 4: Simplify right side
    461.64x = 1,058,093.50
  5. Step 5: Solve for x
    x = 1,058,093.50/461.64
  6. Step 6: Final answer
    x = 2,292.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.