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Finding the Third Proportional to 266,828 and 589,664

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Solution

The third proportional to 266,828 and 589,664 is: 1,303,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,828 : 589,664 = 589,664 : x
  2. Step 2: Convert to fraction form
    266,828/589,664 = 589,664/x
  3. Step 3: Cross multiply
    266,828x = 589,664 × 589,664
  4. Step 4: Simplify right side
    266,828x = 347,703,632,896
  5. Step 5: Solve for x
    x = 347,703,632,896/266,828
  6. Step 6: Final answer
    x = 1,303,100.25

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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.