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Finding the Third Proportional to 300,828 and 643,128

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Solution

The third proportional to 300,828 and 643,128 is: 1,374,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,828 : 643,128 = 643,128 : x
  2. Step 2: Convert to fraction form
    300,828/643,128 = 643,128/x
  3. Step 3: Cross multiply
    300,828x = 643,128 × 643,128
  4. Step 4: Simplify right side
    300,828x = 413,613,624,384
  5. Step 5: Solve for x
    x = 413,613,624,384/300,828
  6. Step 6: Final answer
    x = 1,374,917.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.