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Finding the Third Proportional to 688,317 and 967,573.50

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Solution

The third proportional to 688,317 and 967,573.50 is: 1,360,126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,317 : 967,573.50 = 967,573.50 : x
  2. Step 2: Convert to fraction form
    688,317/967,573.50 = 967,573.50/x
  3. Step 3: Cross multiply
    688,317x = 967,573.50 × 967,573.50
  4. Step 4: Simplify right side
    688,317x = 936,198,477,902.25
  5. Step 5: Solve for x
    x = 936,198,477,902.25/688,317
  6. Step 6: Final answer
    x = 1,360,126.92

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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.