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Finding the Third Proportional to 284,322 and 603,632

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Solution

The third proportional to 284,322 and 603,632 is: 1,281,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,322 : 603,632 = 603,632 : x
  2. Step 2: Convert to fraction form
    284,322/603,632 = 603,632/x
  3. Step 3: Cross multiply
    284,322x = 603,632 × 603,632
  4. Step 4: Simplify right side
    284,322x = 364,371,591,424
  5. Step 5: Solve for x
    x = 364,371,591,424/284,322
  6. Step 6: Final answer
    x = 1,281,545.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.