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Finding the Third Proportional to 338,736.94 and 495,384.61

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Solution

The third proportional to 338,736.94 and 495,384.61 is: 724,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,736.94 : 495,384.61 = 495,384.61 : x
  2. Step 2: Convert to fraction form
    338,736.94/495,384.61 = 495,384.61/x
  3. Step 3: Cross multiply
    338,736.94x = 495,384.61 × 495,384.61
  4. Step 4: Simplify right side
    338,736.94x = 245,405,911,205.62
  5. Step 5: Solve for x
    x = 245,405,911,205.62/338,736.94
  6. Step 6: Final answer
    x = 724,473.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.