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Finding the Third Proportional to 495.50 and 1,065.50

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Solution

The third proportional to 495.50 and 1,065.50 is: 2,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.50 : 1,065.50 = 1,065.50 : x
  2. Step 2: Convert to fraction form
    495.50/1,065.50 = 1,065.50/x
  3. Step 3: Cross multiply
    495.50x = 1,065.50 × 1,065.50
  4. Step 4: Simplify right side
    495.50x = 1,135,290.25
  5. Step 5: Solve for x
    x = 1,135,290.25/495.50
  6. Step 6: Final answer
    x = 2,291.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.