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Finding the Third Proportional to 334,125 and 548,517

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Solution

The third proportional to 334,125 and 548,517 is: 900,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,125 : 548,517 = 548,517 : x
  2. Step 2: Convert to fraction form
    334,125/548,517 = 548,517/x
  3. Step 3: Cross multiply
    334,125x = 548,517 × 548,517
  4. Step 4: Simplify right side
    334,125x = 300,870,899,289
  5. Step 5: Solve for x
    x = 300,870,899,289/334,125
  6. Step 6: Final answer
    x = 900,474.07

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.