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Finding the Third Proportional to 275,958 and 591,300

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Solution

The third proportional to 275,958 and 591,300 is: 1,266,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,958 : 591,300 = 591,300 : x
  2. Step 2: Convert to fraction form
    275,958/591,300 = 591,300/x
  3. Step 3: Cross multiply
    275,958x = 591,300 × 591,300
  4. Step 4: Simplify right side
    275,958x = 349,635,690,000
  5. Step 5: Solve for x
    x = 349,635,690,000/275,958
  6. Step 6: Final answer
    x = 1,266,988.78

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