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Finding the Third Proportional to 606.75 and 882.28

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Solution

The third proportional to 606.75 and 882.28 is: 1,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.75 : 882.28 = 882.28 : x
  2. Step 2: Convert to fraction form
    606.75/882.28 = 882.28/x
  3. Step 3: Cross multiply
    606.75x = 882.28 × 882.28
  4. Step 4: Simplify right side
    606.75x = 778,420.20
  5. Step 5: Solve for x
    x = 778,420.20/606.75
  6. Step 6: Final answer
    x = 1,282.93

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.