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Finding the Third Proportional to 688,297.50 and 967,552.59

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Solution

The third proportional to 688,297.50 and 967,552.59 is: 1,360,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,297.50 : 967,552.59 = 967,552.59 : x
  2. Step 2: Convert to fraction form
    688,297.50/967,552.59 = 967,552.59/x
  3. Step 3: Cross multiply
    688,297.50x = 967,552.59 × 967,552.59
  4. Step 4: Simplify right side
    688,297.50x = 936,158,021,672.35
  5. Step 5: Solve for x
    x = 936,158,021,672.35/688,297.50
  6. Step 6: Final answer
    x = 1,360,106.67

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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.