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Finding the Third Proportional to 688,399.25 and 967,705.25

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Solution

The third proportional to 688,399.25 and 967,705.25 is: 1,360,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,399.25 : 967,705.25 = 967,705.25 : x
  2. Step 2: Convert to fraction form
    688,399.25/967,705.25 = 967,705.25/x
  3. Step 3: Cross multiply
    688,399.25x = 967,705.25 × 967,705.25
  4. Step 4: Simplify right side
    688,399.25x = 936,453,450,877.56
  5. Step 5: Solve for x
    x = 936,453,450,877.56/688,399.25
  6. Step 6: Final answer
    x = 1,360,334.79

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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.