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Finding the Third Proportional to 274,581 and 591,297.19

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Solution

The third proportional to 274,581 and 591,297.19 is: 1,273,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,581 : 591,297.19 = 591,297.19 : x
  2. Step 2: Convert to fraction form
    274,581/591,297.19 = 591,297.19/x
  3. Step 3: Cross multiply
    274,581x = 591,297.19 × 591,297.19
  4. Step 4: Simplify right side
    274,581x = 349,632,363,945.41
  5. Step 5: Solve for x
    x = 349,632,363,945.41/274,581
  6. Step 6: Final answer
    x = 1,273,330.51

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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.