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Finding the Third Proportional to 251,838 and 540,936

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Solution

The third proportional to 251,838 and 540,936 is: 1,161,904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,838 : 540,936 = 540,936 : x
  2. Step 2: Convert to fraction form
    251,838/540,936 = 540,936/x
  3. Step 3: Cross multiply
    251,838x = 540,936 × 540,936
  4. Step 4: Simplify right side
    251,838x = 292,611,756,096
  5. Step 5: Solve for x
    x = 292,611,756,096/251,838
  6. Step 6: Final answer
    x = 1,161,904.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.