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Finding the Third Proportional to 248,794 and 530,112

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Solution

The third proportional to 248,794 and 530,112 is: 1,129,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,794 : 530,112 = 530,112 : x
  2. Step 2: Convert to fraction form
    248,794/530,112 = 530,112/x
  3. Step 3: Cross multiply
    248,794x = 530,112 × 530,112
  4. Step 4: Simplify right side
    248,794x = 281,018,732,544
  5. Step 5: Solve for x
    x = 281,018,732,544/248,794
  6. Step 6: Final answer
    x = 1,129,523.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.