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Finding the Third Proportional to 297,085 and 641,514

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Solution

The third proportional to 297,085 and 641,514 is: 1,385,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,085 : 641,514 = 641,514 : x
  2. Step 2: Convert to fraction form
    297,085/641,514 = 641,514/x
  3. Step 3: Cross multiply
    297,085x = 641,514 × 641,514
  4. Step 4: Simplify right side
    297,085x = 411,540,212,196
  5. Step 5: Solve for x
    x = 411,540,212,196/297,085
  6. Step 6: Final answer
    x = 1,385,260.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.