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Finding the Third Proportional to 688,307.25 and 967,560.75

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Solution

The third proportional to 688,307.25 and 967,560.75 is: 1,360,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,307.25 : 967,560.75 = 967,560.75 : x
  2. Step 2: Convert to fraction form
    688,307.25/967,560.75 = 967,560.75/x
  3. Step 3: Cross multiply
    688,307.25x = 967,560.75 × 967,560.75
  4. Step 4: Simplify right side
    688,307.25x = 936,173,804,940.56
  5. Step 5: Solve for x
    x = 936,173,804,940.56/688,307.25
  6. Step 6: Final answer
    x = 1,360,110.34

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