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Finding the Third Proportional to 251,311 and 546,254

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Solution

The third proportional to 251,311 and 546,254 is: 1,187,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,311 : 546,254 = 546,254 : x
  2. Step 2: Convert to fraction form
    251,311/546,254 = 546,254/x
  3. Step 3: Cross multiply
    251,311x = 546,254 × 546,254
  4. Step 4: Simplify right side
    251,311x = 298,393,432,516
  5. Step 5: Solve for x
    x = 298,393,432,516/251,311
  6. Step 6: Final answer
    x = 1,187,347.28

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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.