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Finding the Third Proportional to 654.33 and 1,376.16

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Solution

The third proportional to 654.33 and 1,376.16 is: 2,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.33 : 1,376.16 = 1,376.16 : x
  2. Step 2: Convert to fraction form
    654.33/1,376.16 = 1,376.16/x
  3. Step 3: Cross multiply
    654.33x = 1,376.16 × 1,376.16
  4. Step 4: Simplify right side
    654.33x = 1,893,806.02
  5. Step 5: Solve for x
    x = 1,893,806.02/654.33
  6. Step 6: Final answer
    x = 2,894.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.