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Finding the Third Proportional to 706,223 and 906,766

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Solution

The third proportional to 706,223 and 906,766 is: 1,164,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,223 : 906,766 = 906,766 : x
  2. Step 2: Convert to fraction form
    706,223/906,766 = 906,766/x
  3. Step 3: Cross multiply
    706,223x = 906,766 × 906,766
  4. Step 4: Simplify right side
    706,223x = 822,224,578,756
  5. Step 5: Solve for x
    x = 822,224,578,756/706,223
  6. Step 6: Final answer
    x = 1,164,256.30

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.