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Finding the Third Proportional to 201,246 and 415,446

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Solution

The third proportional to 201,246 and 415,446 is: 857,633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,246 : 415,446 = 415,446 : x
  2. Step 2: Convert to fraction form
    201,246/415,446 = 415,446/x
  3. Step 3: Cross multiply
    201,246x = 415,446 × 415,446
  4. Step 4: Simplify right side
    201,246x = 172,595,378,916
  5. Step 5: Solve for x
    x = 172,595,378,916/201,246
  6. Step 6: Final answer
    x = 857,633.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.