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Finding the Third Proportional to 262,512 and 562,368

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Solution

The third proportional to 262,512 and 562,368 is: 1,204,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,512 : 562,368 = 562,368 : x
  2. Step 2: Convert to fraction form
    262,512/562,368 = 562,368/x
  3. Step 3: Cross multiply
    262,512x = 562,368 × 562,368
  4. Step 4: Simplify right side
    262,512x = 316,257,767,424
  5. Step 5: Solve for x
    x = 316,257,767,424/262,512
  6. Step 6: Final answer
    x = 1,204,736.42

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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.