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Finding the Third Proportional to 679,692 and 950,658

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Solution

The third proportional to 679,692 and 950,658 is: 1,329,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,692 : 950,658 = 950,658 : x
  2. Step 2: Convert to fraction form
    679,692/950,658 = 950,658/x
  3. Step 3: Cross multiply
    679,692x = 950,658 × 950,658
  4. Step 4: Simplify right side
    679,692x = 903,750,632,964
  5. Step 5: Solve for x
    x = 903,750,632,964/679,692
  6. Step 6: Final answer
    x = 1,329,647.30

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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.