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Finding the Third Proportional to 453.94 and 1,056.09

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Solution

The third proportional to 453.94 and 1,056.09 is: 2,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.94 : 1,056.09 = 1,056.09 : x
  2. Step 2: Convert to fraction form
    453.94/1,056.09 = 1,056.09/x
  3. Step 3: Cross multiply
    453.94x = 1,056.09 × 1,056.09
  4. Step 4: Simplify right side
    453.94x = 1,115,334.01
  5. Step 5: Solve for x
    x = 1,115,334.01/453.94
  6. Step 6: Final answer
    x = 2,457.02

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.