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Finding the Third Proportional to 689,942 and 950,065

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Solution

The third proportional to 689,942 and 950,065 is: 1,308,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,942 : 950,065 = 950,065 : x
  2. Step 2: Convert to fraction form
    689,942/950,065 = 950,065/x
  3. Step 3: Cross multiply
    689,942x = 950,065 × 950,065
  4. Step 4: Simplify right side
    689,942x = 902,623,504,225
  5. Step 5: Solve for x
    x = 902,623,504,225/689,942
  6. Step 6: Final answer
    x = 1,308,259.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.