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Finding the Third Proportional to 284,180 and 410,556

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Solution

The third proportional to 284,180 and 410,556 is: 593,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,180 : 410,556 = 410,556 : x
  2. Step 2: Convert to fraction form
    284,180/410,556 = 410,556/x
  3. Step 3: Cross multiply
    284,180x = 410,556 × 410,556
  4. Step 4: Simplify right side
    284,180x = 168,556,229,136
  5. Step 5: Solve for x
    x = 168,556,229,136/284,180
  6. Step 6: Final answer
    x = 593,131.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.