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Finding the Third Proportional to 276,541 and 590,990

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Solution

The third proportional to 276,541 and 590,990 is: 1,262,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,541 : 590,990 = 590,990 : x
  2. Step 2: Convert to fraction form
    276,541/590,990 = 590,990/x
  3. Step 3: Cross multiply
    276,541x = 590,990 × 590,990
  4. Step 4: Simplify right side
    276,541x = 349,269,180,100
  5. Step 5: Solve for x
    x = 349,269,180,100/276,541
  6. Step 6: Final answer
    x = 1,262,992.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.