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Finding the Third Proportional to 679,696 and 950,664

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Solution

The third proportional to 679,696 and 950,664 is: 1,329,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,696 : 950,664 = 950,664 : x
  2. Step 2: Convert to fraction form
    679,696/950,664 = 950,664/x
  3. Step 3: Cross multiply
    679,696x = 950,664 × 950,664
  4. Step 4: Simplify right side
    679,696x = 903,762,040,896
  5. Step 5: Solve for x
    x = 903,762,040,896/679,696
  6. Step 6: Final answer
    x = 1,329,656.26

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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.