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Finding the Third Proportional to 656.25 and 982.25

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Solution

The third proportional to 656.25 and 982.25 is: 1,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.25 : 982.25 = 982.25 : x
  2. Step 2: Convert to fraction form
    656.25/982.25 = 982.25/x
  3. Step 3: Cross multiply
    656.25x = 982.25 × 982.25
  4. Step 4: Simplify right side
    656.25x = 964,815.06
  5. Step 5: Solve for x
    x = 964,815.06/656.25
  6. Step 6: Final answer
    x = 1,470.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.