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Finding the Third Proportional to 316,542 and 644,794

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Solution

The third proportional to 316,542 and 644,794 is: 1,313,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,542 : 644,794 = 644,794 : x
  2. Step 2: Convert to fraction form
    316,542/644,794 = 644,794/x
  3. Step 3: Cross multiply
    316,542x = 644,794 × 644,794
  4. Step 4: Simplify right side
    316,542x = 415,759,302,436
  5. Step 5: Solve for x
    x = 415,759,302,436/316,542
  6. Step 6: Final answer
    x = 1,313,441.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.