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Finding the Third Proportional to 466.63 and 1,014.25

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Solution

The third proportional to 466.63 and 1,014.25 is: 2,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.63 : 1,014.25 = 1,014.25 : x
  2. Step 2: Convert to fraction form
    466.63/1,014.25 = 1,014.25/x
  3. Step 3: Cross multiply
    466.63x = 1,014.25 × 1,014.25
  4. Step 4: Simplify right side
    466.63x = 1,028,703.06
  5. Step 5: Solve for x
    x = 1,028,703.06/466.63
  6. Step 6: Final answer
    x = 2,204.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.