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Finding the Third Proportional to 334,800.84 and 505,219.78

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Solution

The third proportional to 334,800.84 and 505,219.78 is: 762,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,800.84 : 505,219.78 = 505,219.78 : x
  2. Step 2: Convert to fraction form
    334,800.84/505,219.78 = 505,219.78/x
  3. Step 3: Cross multiply
    334,800.84x = 505,219.78 × 505,219.78
  4. Step 4: Simplify right side
    334,800.84x = 255,247,027,366.30
  5. Step 5: Solve for x
    x = 255,247,027,366.30/334,800.84
  6. Step 6: Final answer
    x = 762,384.66

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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.