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Finding the Third Proportional to 654.12 and 1,412.02

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Solution

The third proportional to 654.12 and 1,412.02 is: 3,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.12 : 1,412.02 = 1,412.02 : x
  2. Step 2: Convert to fraction form
    654.12/1,412.02 = 1,412.02/x
  3. Step 3: Cross multiply
    654.12x = 1,412.02 × 1,412.02
  4. Step 4: Simplify right side
    654.12x = 1,993,788.13
  5. Step 5: Solve for x
    x = 1,993,788.13/654.12
  6. Step 6: Final answer
    x = 3,048.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.