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Finding the Third Proportional to 269,008 and 390,839

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Solution

The third proportional to 269,008 and 390,839 is: 567,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,008 : 390,839 = 390,839 : x
  2. Step 2: Convert to fraction form
    269,008/390,839 = 390,839/x
  3. Step 3: Cross multiply
    269,008x = 390,839 × 390,839
  4. Step 4: Simplify right side
    269,008x = 152,755,123,921
  5. Step 5: Solve for x
    x = 152,755,123,921/269,008
  6. Step 6: Final answer
    x = 567,846.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.