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Finding the Third Proportional to 338,302 and 727,634

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Solution

The third proportional to 338,302 and 727,634 is: 1,565,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,302 : 727,634 = 727,634 : x
  2. Step 2: Convert to fraction form
    338,302/727,634 = 727,634/x
  3. Step 3: Cross multiply
    338,302x = 727,634 × 727,634
  4. Step 4: Simplify right side
    338,302x = 529,451,237,956
  5. Step 5: Solve for x
    x = 529,451,237,956/338,302
  6. Step 6: Final answer
    x = 1,565,025.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.