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Finding the Third Proportional to 681.25 and 1,389.50

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Solution

The third proportional to 681.25 and 1,389.50 is: 2,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.25 : 1,389.50 = 1,389.50 : x
  2. Step 2: Convert to fraction form
    681.25/1,389.50 = 1,389.50/x
  3. Step 3: Cross multiply
    681.25x = 1,389.50 × 1,389.50
  4. Step 4: Simplify right side
    681.25x = 1,930,710.25
  5. Step 5: Solve for x
    x = 1,930,710.25/681.25
  6. Step 6: Final answer
    x = 2,834.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.