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Finding the Third Proportional to 280,480 and 603,728

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Solution

The third proportional to 280,480 and 603,728 is: 1,299,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,480 : 603,728 = 603,728 : x
  2. Step 2: Convert to fraction form
    280,480/603,728 = 603,728/x
  3. Step 3: Cross multiply
    280,480x = 603,728 × 603,728
  4. Step 4: Simplify right side
    280,480x = 364,487,497,984
  5. Step 5: Solve for x
    x = 364,487,497,984/280,480
  6. Step 6: Final answer
    x = 1,299,513.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.