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Finding the Third Proportional to 259,983 and 540,378

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Solution

The third proportional to 259,983 and 540,378 is: 1,123,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,983 : 540,378 = 540,378 : x
  2. Step 2: Convert to fraction form
    259,983/540,378 = 540,378/x
  3. Step 3: Cross multiply
    259,983x = 540,378 × 540,378
  4. Step 4: Simplify right side
    259,983x = 292,008,382,884
  5. Step 5: Solve for x
    x = 292,008,382,884/259,983
  6. Step 6: Final answer
    x = 1,123,182.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.