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Finding the Third Proportional to 219,538 and 456,302

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Solution

The third proportional to 219,538 and 456,302 is: 948,407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,538 : 456,302 = 456,302 : x
  2. Step 2: Convert to fraction form
    219,538/456,302 = 456,302/x
  3. Step 3: Cross multiply
    219,538x = 456,302 × 456,302
  4. Step 4: Simplify right side
    219,538x = 208,211,515,204
  5. Step 5: Solve for x
    x = 208,211,515,204/219,538
  6. Step 6: Final answer
    x = 948,407.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.