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Finding the Third Proportional to 367,872 and 562,504

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Solution

The third proportional to 367,872 and 562,504 is: 860,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,872 : 562,504 = 562,504 : x
  2. Step 2: Convert to fraction form
    367,872/562,504 = 562,504/x
  3. Step 3: Cross multiply
    367,872x = 562,504 × 562,504
  4. Step 4: Simplify right side
    367,872x = 316,410,750,016
  5. Step 5: Solve for x
    x = 316,410,750,016/367,872
  6. Step 6: Final answer
    x = 860,110.99

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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.