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Finding the Third Proportional to 679,584 and 950,512

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Solution

The third proportional to 679,584 and 950,512 is: 1,329,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,584 : 950,512 = 950,512 : x
  2. Step 2: Convert to fraction form
    679,584/950,512 = 950,512/x
  3. Step 3: Cross multiply
    679,584x = 950,512 × 950,512
  4. Step 4: Simplify right side
    679,584x = 903,473,062,144
  5. Step 5: Solve for x
    x = 903,473,062,144/679,584
  6. Step 6: Final answer
    x = 1,329,450.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.