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Finding the Third Proportional to 273,354 and 591,636

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Solution

The third proportional to 273,354 and 591,636 is: 1,280,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,354 : 591,636 = 591,636 : x
  2. Step 2: Convert to fraction form
    273,354/591,636 = 591,636/x
  3. Step 3: Cross multiply
    273,354x = 591,636 × 591,636
  4. Step 4: Simplify right side
    273,354x = 350,033,156,496
  5. Step 5: Solve for x
    x = 350,033,156,496/273,354
  6. Step 6: Final answer
    x = 1,280,512.29

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Why These Related Problems?

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