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Finding the Third Proportional to 957.88 and 1,464.25

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Solution

The third proportional to 957.88 and 1,464.25 is: 2,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.88 : 1,464.25 = 1,464.25 : x
  2. Step 2: Convert to fraction form
    957.88/1,464.25 = 1,464.25/x
  3. Step 3: Cross multiply
    957.88x = 1,464.25 × 1,464.25
  4. Step 4: Simplify right side
    957.88x = 2,144,028.06
  5. Step 5: Solve for x
    x = 2,144,028.06/957.88
  6. Step 6: Final answer
    x = 2,238.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.