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Finding the Third Proportional to 382,539 and 590,265

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Solution

The third proportional to 382,539 and 590,265 is: 910,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,539 : 590,265 = 590,265 : x
  2. Step 2: Convert to fraction form
    382,539/590,265 = 590,265/x
  3. Step 3: Cross multiply
    382,539x = 590,265 × 590,265
  4. Step 4: Simplify right side
    382,539x = 348,412,770,225
  5. Step 5: Solve for x
    x = 348,412,770,225/382,539
  6. Step 6: Final answer
    x = 910,790.19

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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.