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Finding the Third Proportional to 304,805 and 668,497

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Solution

The third proportional to 304,805 and 668,497 is: 1,466,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,805 : 668,497 = 668,497 : x
  2. Step 2: Convert to fraction form
    304,805/668,497 = 668,497/x
  3. Step 3: Cross multiply
    304,805x = 668,497 × 668,497
  4. Step 4: Simplify right side
    304,805x = 446,888,239,009
  5. Step 5: Solve for x
    x = 446,888,239,009/304,805
  6. Step 6: Final answer
    x = 1,466,144.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.