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Finding the Third Proportional to 251,200 and 546,032

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Solution

The third proportional to 251,200 and 546,032 is: 1,186,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,200 : 546,032 = 546,032 : x
  2. Step 2: Convert to fraction form
    251,200/546,032 = 546,032/x
  3. Step 3: Cross multiply
    251,200x = 546,032 × 546,032
  4. Step 4: Simplify right side
    251,200x = 298,150,945,024
  5. Step 5: Solve for x
    x = 298,150,945,024/251,200
  6. Step 6: Final answer
    x = 1,186,906.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.