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Finding the Third Proportional to 251,043 and 382,447

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Solution

The third proportional to 251,043 and 382,447 is: 582,632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,043 : 382,447 = 382,447 : x
  2. Step 2: Convert to fraction form
    251,043/382,447 = 382,447/x
  3. Step 3: Cross multiply
    251,043x = 382,447 × 382,447
  4. Step 4: Simplify right side
    251,043x = 146,265,707,809
  5. Step 5: Solve for x
    x = 146,265,707,809/251,043
  6. Step 6: Final answer
    x = 582,632.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.