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Finding the Third Proportional to 284,231 and 410,631

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Solution

The third proportional to 284,231 and 410,631 is: 593,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,231 : 410,631 = 410,631 : x
  2. Step 2: Convert to fraction form
    284,231/410,631 = 410,631/x
  3. Step 3: Cross multiply
    284,231x = 410,631 × 410,631
  4. Step 4: Simplify right side
    284,231x = 168,617,818,161
  5. Step 5: Solve for x
    x = 168,617,818,161/284,231
  6. Step 6: Final answer
    x = 593,242.18

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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.