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Finding the Third Proportional to 293,880 and 600,213

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Solution

The third proportional to 293,880 and 600,213 is: 1,225,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,880 : 600,213 = 600,213 : x
  2. Step 2: Convert to fraction form
    293,880/600,213 = 600,213/x
  3. Step 3: Cross multiply
    293,880x = 600,213 × 600,213
  4. Step 4: Simplify right side
    293,880x = 360,255,645,369
  5. Step 5: Solve for x
    x = 360,255,645,369/293,880
  6. Step 6: Final answer
    x = 1,225,859.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.