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Finding the Third Proportional to 208,284 and 448,212

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Solution

The third proportional to 208,284 and 448,212 is: 964,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,284 : 448,212 = 448,212 : x
  2. Step 2: Convert to fraction form
    208,284/448,212 = 448,212/x
  3. Step 3: Cross multiply
    208,284x = 448,212 × 448,212
  4. Step 4: Simplify right side
    208,284x = 200,893,996,944
  5. Step 5: Solve for x
    x = 200,893,996,944/208,284
  6. Step 6: Final answer
    x = 964,519.58

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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.