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Finding the Third Proportional to 468.75 and 675.09

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Solution

The third proportional to 468.75 and 675.09 is: 972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.75 : 675.09 = 675.09 : x
  2. Step 2: Convert to fraction form
    468.75/675.09 = 675.09/x
  3. Step 3: Cross multiply
    468.75x = 675.09 × 675.09
  4. Step 4: Simplify right side
    468.75x = 455,751.57
  5. Step 5: Solve for x
    x = 455,751.57/468.75
  6. Step 6: Final answer
    x = 972.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.