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Finding the Third Proportional to 280,404 and 600,168

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Solution

The third proportional to 280,404 and 600,168 is: 1,284,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,404 : 600,168 = 600,168 : x
  2. Step 2: Convert to fraction form
    280,404/600,168 = 600,168/x
  3. Step 3: Cross multiply
    280,404x = 600,168 × 600,168
  4. Step 4: Simplify right side
    280,404x = 360,201,628,224
  5. Step 5: Solve for x
    x = 360,201,628,224/280,404
  6. Step 6: Final answer
    x = 1,284,580.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.