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Finding the Third Proportional to 275,434 and 591,043

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Solution

The third proportional to 275,434 and 591,043 is: 1,268,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,434 : 591,043 = 591,043 : x
  2. Step 2: Convert to fraction form
    275,434/591,043 = 591,043/x
  3. Step 3: Cross multiply
    275,434x = 591,043 × 591,043
  4. Step 4: Simplify right side
    275,434x = 349,331,827,849
  5. Step 5: Solve for x
    x = 349,331,827,849/275,434
  6. Step 6: Final answer
    x = 1,268,295.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.