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Finding the Third Proportional to 251,256 and 546,900

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Solution

The third proportional to 251,256 and 546,900 is: 1,190,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,256 : 546,900 = 546,900 : x
  2. Step 2: Convert to fraction form
    251,256/546,900 = 546,900/x
  3. Step 3: Cross multiply
    251,256x = 546,900 × 546,900
  4. Step 4: Simplify right side
    251,256x = 299,099,610,000
  5. Step 5: Solve for x
    x = 299,099,610,000/251,256
  6. Step 6: Final answer
    x = 1,190,417.78

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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.