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Finding the Third Proportional to 273,356 and 591,640

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Solution

The third proportional to 273,356 and 591,640 is: 1,280,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,356 : 591,640 = 591,640 : x
  2. Step 2: Convert to fraction form
    273,356/591,640 = 591,640/x
  3. Step 3: Cross multiply
    273,356x = 591,640 × 591,640
  4. Step 4: Simplify right side
    273,356x = 350,037,889,600
  5. Step 5: Solve for x
    x = 350,037,889,600/273,356
  6. Step 6: Final answer
    x = 1,280,520.24

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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.