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Finding the Third Proportional to 279,480 and 603,224

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Solution

The third proportional to 279,480 and 603,224 is: 1,301,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,480 : 603,224 = 603,224 : x
  2. Step 2: Convert to fraction form
    279,480/603,224 = 603,224/x
  3. Step 3: Cross multiply
    279,480x = 603,224 × 603,224
  4. Step 4: Simplify right side
    279,480x = 363,879,194,176
  5. Step 5: Solve for x
    x = 363,879,194,176/279,480
  6. Step 6: Final answer
    x = 1,301,986.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.