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Finding the Third Proportional to 396,629 and 773,332

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Solution

The third proportional to 396,629 and 773,332 is: 1,507,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,629 : 773,332 = 773,332 : x
  2. Step 2: Convert to fraction form
    396,629/773,332 = 773,332/x
  3. Step 3: Cross multiply
    396,629x = 773,332 × 773,332
  4. Step 4: Simplify right side
    396,629x = 598,042,382,224
  5. Step 5: Solve for x
    x = 598,042,382,224/396,629
  6. Step 6: Final answer
    x = 1,507,813.05

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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.