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Finding the Third Proportional to 301,356 and 633,744

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Solution

The third proportional to 301,356 and 633,744 is: 1,332,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,356 : 633,744 = 633,744 : x
  2. Step 2: Convert to fraction form
    301,356/633,744 = 633,744/x
  3. Step 3: Cross multiply
    301,356x = 633,744 × 633,744
  4. Step 4: Simplify right side
    301,356x = 401,631,457,536
  5. Step 5: Solve for x
    x = 401,631,457,536/301,356
  6. Step 6: Final answer
    x = 1,332,747.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.