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Finding the Third Proportional to 511,936 and 689,169

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Solution

The third proportional to 511,936 and 689,169 is: 927,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,936 : 689,169 = 689,169 : x
  2. Step 2: Convert to fraction form
    511,936/689,169 = 689,169/x
  3. Step 3: Cross multiply
    511,936x = 689,169 × 689,169
  4. Step 4: Simplify right side
    511,936x = 474,953,910,561
  5. Step 5: Solve for x
    x = 474,953,910,561/511,936
  6. Step 6: Final answer
    x = 927,760.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.