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Finding the Third Proportional to 300,228 and 463,326

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Solution

The third proportional to 300,228 and 463,326 is: 715,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,228 : 463,326 = 463,326 : x
  2. Step 2: Convert to fraction form
    300,228/463,326 = 463,326/x
  3. Step 3: Cross multiply
    300,228x = 463,326 × 463,326
  4. Step 4: Simplify right side
    300,228x = 214,670,982,276
  5. Step 5: Solve for x
    x = 214,670,982,276/300,228
  6. Step 6: Final answer
    x = 715,026.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.