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Finding the Third Proportional to 674.16 and 1,473.05

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Solution

The third proportional to 674.16 and 1,473.05 is: 3,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.16 : 1,473.05 = 1,473.05 : x
  2. Step 2: Convert to fraction form
    674.16/1,473.05 = 1,473.05/x
  3. Step 3: Cross multiply
    674.16x = 1,473.05 × 1,473.05
  4. Step 4: Simplify right side
    674.16x = 2,169,867.10
  5. Step 5: Solve for x
    x = 2,169,867.10/674.16
  6. Step 6: Final answer
    x = 3,218.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.