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Finding the Third Proportional to 363,512 and 745,156

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Solution

The third proportional to 363,512 and 745,156 is: 1,527,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,512 : 745,156 = 745,156 : x
  2. Step 2: Convert to fraction form
    363,512/745,156 = 745,156/x
  3. Step 3: Cross multiply
    363,512x = 745,156 × 745,156
  4. Step 4: Simplify right side
    363,512x = 555,257,464,336
  5. Step 5: Solve for x
    x = 555,257,464,336/363,512
  6. Step 6: Final answer
    x = 1,527,480.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.