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Finding the Third Proportional to 302.84 and 654.19

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Solution

The third proportional to 302.84 and 654.19 is: 1,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.84 : 654.19 = 654.19 : x
  2. Step 2: Convert to fraction form
    302.84/654.19 = 654.19/x
  3. Step 3: Cross multiply
    302.84x = 654.19 × 654.19
  4. Step 4: Simplify right side
    302.84x = 427,961.29
  5. Step 5: Solve for x
    x = 427,961.29/302.84
  6. Step 6: Final answer
    x = 1,413.18

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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.