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Finding the Third Proportional to 957.45 and 1,464.01

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Solution

The third proportional to 957.45 and 1,464.01 is: 2,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.45 : 1,464.01 = 1,464.01 : x
  2. Step 2: Convert to fraction form
    957.45/1,464.01 = 1,464.01/x
  3. Step 3: Cross multiply
    957.45x = 1,464.01 × 1,464.01
  4. Step 4: Simplify right side
    957.45x = 2,143,330.31
  5. Step 5: Solve for x
    x = 2,143,330.31/957.45
  6. Step 6: Final answer
    x = 2,238.59

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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.