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Finding the Third Proportional to 273,498 and 590,736

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Solution

The third proportional to 273,498 and 590,736 is: 1,275,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,498 : 590,736 = 590,736 : x
  2. Step 2: Convert to fraction form
    273,498/590,736 = 590,736/x
  3. Step 3: Cross multiply
    273,498x = 590,736 × 590,736
  4. Step 4: Simplify right side
    273,498x = 348,969,021,696
  5. Step 5: Solve for x
    x = 348,969,021,696/273,498
  6. Step 6: Final answer
    x = 1,275,947.25

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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.