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Finding the Third Proportional to 361,848 and 552,168

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Solution

The third proportional to 361,848 and 552,168 is: 842,589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,848 : 552,168 = 552,168 : x
  2. Step 2: Convert to fraction form
    361,848/552,168 = 552,168/x
  3. Step 3: Cross multiply
    361,848x = 552,168 × 552,168
  4. Step 4: Simplify right side
    361,848x = 304,889,500,224
  5. Step 5: Solve for x
    x = 304,889,500,224/361,848
  6. Step 6: Final answer
    x = 842,589.98

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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.