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Finding the Third Proportional to 688,601.25 and 967,983.75

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Solution

The third proportional to 688,601.25 and 967,983.75 is: 1,360,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,601.25 : 967,983.75 = 967,983.75 : x
  2. Step 2: Convert to fraction form
    688,601.25/967,983.75 = 967,983.75/x
  3. Step 3: Cross multiply
    688,601.25x = 967,983.75 × 967,983.75
  4. Step 4: Simplify right side
    688,601.25x = 936,992,540,264.06
  5. Step 5: Solve for x
    x = 936,992,540,264.06/688,601.25
  6. Step 6: Final answer
    x = 1,360,718.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.