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Finding the Third Proportional to 468.25 and 1,017.49

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Solution

The third proportional to 468.25 and 1,017.49 is: 2,211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.25 : 1,017.49 = 1,017.49 : x
  2. Step 2: Convert to fraction form
    468.25/1,017.49 = 1,017.49/x
  3. Step 3: Cross multiply
    468.25x = 1,017.49 × 1,017.49
  4. Step 4: Simplify right side
    468.25x = 1,035,290.35
  5. Step 5: Solve for x
    x = 1,035,290.35/468.25
  6. Step 6: Final answer
    x = 2,211.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.