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Finding the Third Proportional to 276,538 and 590,984

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Solution

The third proportional to 276,538 and 590,984 is: 1,262,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,538 : 590,984 = 590,984 : x
  2. Step 2: Convert to fraction form
    276,538/590,984 = 590,984/x
  3. Step 3: Cross multiply
    276,538x = 590,984 × 590,984
  4. Step 4: Simplify right side
    276,538x = 349,262,088,256
  5. Step 5: Solve for x
    x = 349,262,088,256/276,538
  6. Step 6: Final answer
    x = 1,262,980.45

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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.