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Finding the Third Proportional to 500.25 and 1,208.63

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Solution

The third proportional to 500.25 and 1,208.63 is: 2,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.25 : 1,208.63 = 1,208.63 : x
  2. Step 2: Convert to fraction form
    500.25/1,208.63 = 1,208.63/x
  3. Step 3: Cross multiply
    500.25x = 1,208.63 × 1,208.63
  4. Step 4: Simplify right side
    500.25x = 1,460,774.39
  5. Step 5: Solve for x
    x = 1,460,774.39/500.25
  6. Step 6: Final answer
    x = 2,920.09

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.