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Finding the Third Proportional to 301,266 and 642,564

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Solution

The third proportional to 301,266 and 642,564 is: 1,370,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,266 : 642,564 = 642,564 : x
  2. Step 2: Convert to fraction form
    301,266/642,564 = 642,564/x
  3. Step 3: Cross multiply
    301,266x = 642,564 × 642,564
  4. Step 4: Simplify right side
    301,266x = 412,888,494,096
  5. Step 5: Solve for x
    x = 412,888,494,096/301,266
  6. Step 6: Final answer
    x = 1,370,511.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.