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Finding the Third Proportional to 259,741 and 388,565

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Solution

The third proportional to 259,741 and 388,565 is: 581,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,741 : 388,565 = 388,565 : x
  2. Step 2: Convert to fraction form
    259,741/388,565 = 388,565/x
  3. Step 3: Cross multiply
    259,741x = 388,565 × 388,565
  4. Step 4: Simplify right side
    259,741x = 150,982,759,225
  5. Step 5: Solve for x
    x = 150,982,759,225/259,741
  6. Step 6: Final answer
    x = 581,281.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.