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Finding the Third Proportional to 334,825 and 505,257

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Solution

The third proportional to 334,825 and 505,257 is: 762,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,825 : 505,257 = 505,257 : x
  2. Step 2: Convert to fraction form
    334,825/505,257 = 505,257/x
  3. Step 3: Cross multiply
    334,825x = 505,257 × 505,257
  4. Step 4: Simplify right side
    334,825x = 255,284,636,049
  5. Step 5: Solve for x
    x = 255,284,636,049/334,825
  6. Step 6: Final answer
    x = 762,441.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.