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Finding the Third Proportional to 250,974 and 540,396

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Solution

The third proportional to 250,974 and 540,396 is: 1,163,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,974 : 540,396 = 540,396 : x
  2. Step 2: Convert to fraction form
    250,974/540,396 = 540,396/x
  3. Step 3: Cross multiply
    250,974x = 540,396 × 540,396
  4. Step 4: Simplify right side
    250,974x = 292,027,836,816
  5. Step 5: Solve for x
    x = 292,027,836,816/250,974
  6. Step 6: Final answer
    x = 1,163,578.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.