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Finding the Third Proportional to 251,043 and 546,380

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Solution

The third proportional to 251,043 and 546,380 is: 1,189,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,043 : 546,380 = 546,380 : x
  2. Step 2: Convert to fraction form
    251,043/546,380 = 546,380/x
  3. Step 3: Cross multiply
    251,043x = 546,380 × 546,380
  4. Step 4: Simplify right side
    251,043x = 298,531,104,400
  5. Step 5: Solve for x
    x = 298,531,104,400/251,043
  6. Step 6: Final answer
    x = 1,189,163.23

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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.