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Finding the Third Proportional to 450.94 and 957.56

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Solution

The third proportional to 450.94 and 957.56 is: 2,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.94 : 957.56 = 957.56 : x
  2. Step 2: Convert to fraction form
    450.94/957.56 = 957.56/x
  3. Step 3: Cross multiply
    450.94x = 957.56 × 957.56
  4. Step 4: Simplify right side
    450.94x = 916,925.94
  5. Step 5: Solve for x
    x = 916,925.94/450.94
  6. Step 6: Final answer
    x = 2,033.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.