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Finding the Third Proportional to 367,812 and 562,410

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Solution

The third proportional to 367,812 and 562,410 is: 859,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,812 : 562,410 = 562,410 : x
  2. Step 2: Convert to fraction form
    367,812/562,410 = 562,410/x
  3. Step 3: Cross multiply
    367,812x = 562,410 × 562,410
  4. Step 4: Simplify right side
    367,812x = 316,305,008,100
  5. Step 5: Solve for x
    x = 316,305,008,100/367,812
  6. Step 6: Final answer
    x = 859,963.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.