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Finding the Third Proportional to 326,270 and 459,469

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Solution

The third proportional to 326,270 and 459,469 is: 647,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,270 : 459,469 = 459,469 : x
  2. Step 2: Convert to fraction form
    326,270/459,469 = 459,469/x
  3. Step 3: Cross multiply
    326,270x = 459,469 × 459,469
  4. Step 4: Simplify right side
    326,270x = 211,111,761,961
  5. Step 5: Solve for x
    x = 211,111,761,961/326,270
  6. Step 6: Final answer
    x = 647,046.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.