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Finding the Third Proportional to 688,398 and 967,704

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Solution

The third proportional to 688,398 and 967,704 is: 1,360,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,398 : 967,704 = 967,704 : x
  2. Step 2: Convert to fraction form
    688,398/967,704 = 967,704/x
  3. Step 3: Cross multiply
    688,398x = 967,704 × 967,704
  4. Step 4: Simplify right side
    688,398x = 936,451,031,616
  5. Step 5: Solve for x
    x = 936,451,031,616/688,398
  6. Step 6: Final answer
    x = 1,360,333.75

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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.