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Finding the Third Proportional to 396,605 and 773,284

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Solution

The third proportional to 396,605 and 773,284 is: 1,507,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,605 : 773,284 = 773,284 : x
  2. Step 2: Convert to fraction form
    396,605/773,284 = 773,284/x
  3. Step 3: Cross multiply
    396,605x = 773,284 × 773,284
  4. Step 4: Simplify right side
    396,605x = 597,968,144,656
  5. Step 5: Solve for x
    x = 597,968,144,656/396,605
  6. Step 6: Final answer
    x = 1,507,717.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.