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Finding the Third Proportional to 273,369 and 591,666

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Solution

The third proportional to 273,369 and 591,666 is: 1,280,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,369 : 591,666 = 591,666 : x
  2. Step 2: Convert to fraction form
    273,369/591,666 = 591,666/x
  3. Step 3: Cross multiply
    273,369x = 591,666 × 591,666
  4. Step 4: Simplify right side
    273,369x = 350,068,655,556
  5. Step 5: Solve for x
    x = 350,068,655,556/273,369
  6. Step 6: Final answer
    x = 1,280,571.88

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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.