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Finding the Third Proportional to 254,527 and 548,392

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Solution

The third proportional to 254,527 and 548,392 is: 1,181,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,527 : 548,392 = 548,392 : x
  2. Step 2: Convert to fraction form
    254,527/548,392 = 548,392/x
  3. Step 3: Cross multiply
    254,527x = 548,392 × 548,392
  4. Step 4: Simplify right side
    254,527x = 300,733,785,664
  5. Step 5: Solve for x
    x = 300,733,785,664/254,527
  6. Step 6: Final answer
    x = 1,181,539.82

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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.