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Finding the Third Proportional to 251,246.81 and 519,442.88

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Solution

The third proportional to 251,246.81 and 519,442.88 is: 1,073,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,246.81 : 519,442.88 = 519,442.88 : x
  2. Step 2: Convert to fraction form
    251,246.81/519,442.88 = 519,442.88/x
  3. Step 3: Cross multiply
    251,246.81x = 519,442.88 × 519,442.88
  4. Step 4: Simplify right side
    251,246.81x = 269,820,900,388.27
  5. Step 5: Solve for x
    x = 269,820,900,388.27/251,246.81
  6. Step 6: Final answer
    x = 1,073,927.66

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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.