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Finding the Third Proportional to 284,454 and 603,981

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Solution

The third proportional to 284,454 and 603,981 is: 1,282,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,454 : 603,981 = 603,981 : x
  2. Step 2: Convert to fraction form
    284,454/603,981 = 603,981/x
  3. Step 3: Cross multiply
    284,454x = 603,981 × 603,981
  4. Step 4: Simplify right side
    284,454x = 364,793,048,361
  5. Step 5: Solve for x
    x = 364,793,048,361/284,454
  6. Step 6: Final answer
    x = 1,282,432.48

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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.