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Finding the Third Proportional to 284,225 and 410,623

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Solution

The third proportional to 284,225 and 410,623 is: 593,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,225 : 410,623 = 410,623 : x
  2. Step 2: Convert to fraction form
    284,225/410,623 = 410,623/x
  3. Step 3: Cross multiply
    284,225x = 410,623 × 410,623
  4. Step 4: Simplify right side
    284,225x = 168,611,248,129
  5. Step 5: Solve for x
    x = 168,611,248,129/284,225
  6. Step 6: Final answer
    x = 593,231.59

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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.