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Finding the Third Proportional to 410,367 and 853,341

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Solution

The third proportional to 410,367 and 853,341 is: 1,774,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,367 : 853,341 = 853,341 : x
  2. Step 2: Convert to fraction form
    410,367/853,341 = 853,341/x
  3. Step 3: Cross multiply
    410,367x = 853,341 × 853,341
  4. Step 4: Simplify right side
    410,367x = 728,190,862,281
  5. Step 5: Solve for x
    x = 728,190,862,281/410,367
  6. Step 6: Final answer
    x = 1,774,486.89

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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.