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Finding the Third Proportional to 266,826 and 589,660

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Solution

The third proportional to 266,826 and 589,660 is: 1,303,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,826 : 589,660 = 589,660 : x
  2. Step 2: Convert to fraction form
    266,826/589,660 = 589,660/x
  3. Step 3: Cross multiply
    266,826x = 589,660 × 589,660
  4. Step 4: Simplify right side
    266,826x = 347,698,915,600
  5. Step 5: Solve for x
    x = 347,698,915,600/266,826
  6. Step 6: Final answer
    x = 1,303,092.34

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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.