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Finding the Third Proportional to 382,540 and 590,268

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Solution

The third proportional to 382,540 and 590,268 is: 910,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,540 : 590,268 = 590,268 : x
  2. Step 2: Convert to fraction form
    382,540/590,268 = 590,268/x
  3. Step 3: Cross multiply
    382,540x = 590,268 × 590,268
  4. Step 4: Simplify right side
    382,540x = 348,416,311,824
  5. Step 5: Solve for x
    x = 348,416,311,824/382,540
  6. Step 6: Final answer
    x = 910,797.07

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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.