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Finding the Third Proportional to 300,222 and 638,586

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Solution

The third proportional to 300,222 and 638,586 is: 1,358,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,222 : 638,586 = 638,586 : x
  2. Step 2: Convert to fraction form
    300,222/638,586 = 638,586/x
  3. Step 3: Cross multiply
    300,222x = 638,586 × 638,586
  4. Step 4: Simplify right side
    300,222x = 407,792,079,396
  5. Step 5: Solve for x
    x = 407,792,079,396/300,222
  6. Step 6: Final answer
    x = 1,358,301.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.