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Finding the Third Proportional to 273,351 and 591,630

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Solution

The third proportional to 273,351 and 591,630 is: 1,280,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,351 : 591,630 = 591,630 : x
  2. Step 2: Convert to fraction form
    273,351/591,630 = 591,630/x
  3. Step 3: Cross multiply
    273,351x = 591,630 × 591,630
  4. Step 4: Simplify right side
    273,351x = 350,026,056,900
  5. Step 5: Solve for x
    x = 350,026,056,900/273,351
  6. Step 6: Final answer
    x = 1,280,500.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.