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Finding the Third Proportional to 275,839 and 591,044

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Solution

The third proportional to 275,839 and 591,044 is: 1,266,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,839 : 591,044 = 591,044 : x
  2. Step 2: Convert to fraction form
    275,839/591,044 = 591,044/x
  3. Step 3: Cross multiply
    275,839x = 591,044 × 591,044
  4. Step 4: Simplify right side
    275,839x = 349,333,009,936
  5. Step 5: Solve for x
    x = 349,333,009,936/275,839
  6. Step 6: Final answer
    x = 1,266,438.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.