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Finding the Third Proportional to 203,403 and 442,482

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Solution

The third proportional to 203,403 and 442,482 is: 962,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,403 : 442,482 = 442,482 : x
  2. Step 2: Convert to fraction form
    203,403/442,482 = 442,482/x
  3. Step 3: Cross multiply
    203,403x = 442,482 × 442,482
  4. Step 4: Simplify right side
    203,403x = 195,790,320,324
  5. Step 5: Solve for x
    x = 195,790,320,324/203,403
  6. Step 6: Final answer
    x = 962,573.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.