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Finding the Third Proportional to 251,388 and 547,002

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Solution

The third proportional to 251,388 and 547,002 is: 1,190,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,388 : 547,002 = 547,002 : x
  2. Step 2: Convert to fraction form
    251,388/547,002 = 547,002/x
  3. Step 3: Cross multiply
    251,388x = 547,002 × 547,002
  4. Step 4: Simplify right side
    251,388x = 299,211,188,004
  5. Step 5: Solve for x
    x = 299,211,188,004/251,388
  6. Step 6: Final answer
    x = 1,190,236.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.