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Finding the Third Proportional to 276,539 and 590,986

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Solution

The third proportional to 276,539 and 590,986 is: 1,262,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,539 : 590,986 = 590,986 : x
  2. Step 2: Convert to fraction form
    276,539/590,986 = 590,986/x
  3. Step 3: Cross multiply
    276,539x = 590,986 × 590,986
  4. Step 4: Simplify right side
    276,539x = 349,264,452,196
  5. Step 5: Solve for x
    x = 349,264,452,196/276,539
  6. Step 6: Final answer
    x = 1,262,984.43

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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.