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Finding the Third Proportional to 266,824 and 589,656

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Solution

The third proportional to 266,824 and 589,656 is: 1,303,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,824 : 589,656 = 589,656 : x
  2. Step 2: Convert to fraction form
    266,824/589,656 = 589,656/x
  3. Step 3: Cross multiply
    266,824x = 589,656 × 589,656
  4. Step 4: Simplify right side
    266,824x = 347,694,198,336
  5. Step 5: Solve for x
    x = 347,694,198,336/266,824
  6. Step 6: Final answer
    x = 1,303,084.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.