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Finding the Third Proportional to 410,295 and 853,206

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Solution

The third proportional to 410,295 and 853,206 is: 1,774,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,295 : 853,206 = 853,206 : x
  2. Step 2: Convert to fraction form
    410,295/853,206 = 853,206/x
  3. Step 3: Cross multiply
    410,295x = 853,206 × 853,206
  4. Step 4: Simplify right side
    410,295x = 727,960,478,436
  5. Step 5: Solve for x
    x = 727,960,478,436/410,295
  6. Step 6: Final answer
    x = 1,774,236.78

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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.