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Finding the Third Proportional to 363,048 and 554,415

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Solution

The third proportional to 363,048 and 554,415 is: 846,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,048 : 554,415 = 554,415 : x
  2. Step 2: Convert to fraction form
    363,048/554,415 = 554,415/x
  3. Step 3: Cross multiply
    363,048x = 554,415 × 554,415
  4. Step 4: Simplify right side
    363,048x = 307,375,992,225
  5. Step 5: Solve for x
    x = 307,375,992,225/363,048
  6. Step 6: Final answer
    x = 846,653.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.