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Finding the Third Proportional to 275,848 and 591,060

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Solution

The third proportional to 275,848 and 591,060 is: 1,266,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,848 : 591,060 = 591,060 : x
  2. Step 2: Convert to fraction form
    275,848/591,060 = 591,060/x
  3. Step 3: Cross multiply
    275,848x = 591,060 × 591,060
  4. Step 4: Simplify right side
    275,848x = 349,351,923,600
  5. Step 5: Solve for x
    x = 349,351,923,600/275,848
  6. Step 6: Final answer
    x = 1,266,465.31

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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.