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Finding the Third Proportional to 274,626 and 591,390

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Solution

The third proportional to 274,626 and 591,390 is: 1,273,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,626 : 591,390 = 591,390 : x
  2. Step 2: Convert to fraction form
    274,626/591,390 = 591,390/x
  3. Step 3: Cross multiply
    274,626x = 591,390 × 591,390
  4. Step 4: Simplify right side
    274,626x = 349,742,132,100
  5. Step 5: Solve for x
    x = 349,742,132,100/274,626
  6. Step 6: Final answer
    x = 1,273,521.56

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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.