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Finding the Third Proportional to 251,140.50 and 519,959.25

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Solution

The third proportional to 251,140.50 and 519,959.25 is: 1,076,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,140.50 : 519,959.25 = 519,959.25 : x
  2. Step 2: Convert to fraction form
    251,140.50/519,959.25 = 519,959.25/x
  3. Step 3: Cross multiply
    251,140.50x = 519,959.25 × 519,959.25
  4. Step 4: Simplify right side
    251,140.50x = 270,357,621,660.56
  5. Step 5: Solve for x
    x = 270,357,621,660.56/251,140.50
  6. Step 6: Final answer
    x = 1,076,519.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.