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Finding the Third Proportional to 688,397 and 967,703

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Solution

The third proportional to 688,397 and 967,703 is: 1,360,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,397 : 967,703 = 967,703 : x
  2. Step 2: Convert to fraction form
    688,397/967,703 = 967,703/x
  3. Step 3: Cross multiply
    688,397x = 967,703 × 967,703
  4. Step 4: Simplify right side
    688,397x = 936,449,096,209
  5. Step 5: Solve for x
    x = 936,449,096,209/688,397
  6. Step 6: Final answer
    x = 1,360,332.91

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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.