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Finding the Third Proportional to 284,486 and 427,485

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Solution

The third proportional to 284,486 and 427,485 is: 642,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,486 : 427,485 = 427,485 : x
  2. Step 2: Convert to fraction form
    284,486/427,485 = 427,485/x
  3. Step 3: Cross multiply
    284,486x = 427,485 × 427,485
  4. Step 4: Simplify right side
    284,486x = 182,743,425,225
  5. Step 5: Solve for x
    x = 182,743,425,225/284,486
  6. Step 6: Final answer
    x = 642,363.51

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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.