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Finding the Third Proportional to 396,101 and 855,332

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Solution

The third proportional to 396,101 and 855,332 is: 1,846,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,101 : 855,332 = 855,332 : x
  2. Step 2: Convert to fraction form
    396,101/855,332 = 855,332/x
  3. Step 3: Cross multiply
    396,101x = 855,332 × 855,332
  4. Step 4: Simplify right side
    396,101x = 731,592,830,224
  5. Step 5: Solve for x
    x = 731,592,830,224/396,101
  6. Step 6: Final answer
    x = 1,846,985.57

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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.