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Finding the Third Proportional to 468.75 and 937.69

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Solution

The third proportional to 468.75 and 937.69 is: 1,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.75 : 937.69 = 937.69 : x
  2. Step 2: Convert to fraction form
    468.75/937.69 = 937.69/x
  3. Step 3: Cross multiply
    468.75x = 937.69 × 937.69
  4. Step 4: Simplify right side
    468.75x = 879,257.85
  5. Step 5: Solve for x
    x = 879,257.85/468.75
  6. Step 6: Final answer
    x = 1,875.75

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.