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Finding the Third Proportional to 276,540 and 590,988

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Solution

The third proportional to 276,540 and 590,988 is: 1,262,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,540 : 590,988 = 590,988 : x
  2. Step 2: Convert to fraction form
    276,540/590,988 = 590,988/x
  3. Step 3: Cross multiply
    276,540x = 590,988 × 590,988
  4. Step 4: Simplify right side
    276,540x = 349,266,816,144
  5. Step 5: Solve for x
    x = 349,266,816,144/276,540
  6. Step 6: Final answer
    x = 1,262,988.41

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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.