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Finding the Third Proportional to 285,136 and 398,636

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Solution

The third proportional to 285,136 and 398,636 is: 557,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,136 : 398,636 = 398,636 : x
  2. Step 2: Convert to fraction form
    285,136/398,636 = 398,636/x
  3. Step 3: Cross multiply
    285,136x = 398,636 × 398,636
  4. Step 4: Simplify right side
    285,136x = 158,910,660,496
  5. Step 5: Solve for x
    x = 158,910,660,496/285,136
  6. Step 6: Final answer
    x = 557,315.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.