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Finding the Third Proportional to 241,281 and 519,959.25

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Solution

The third proportional to 241,281 and 519,959.25 is: 1,120,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,281 : 519,959.25 = 519,959.25 : x
  2. Step 2: Convert to fraction form
    241,281/519,959.25 = 519,959.25/x
  3. Step 3: Cross multiply
    241,281x = 519,959.25 × 519,959.25
  4. Step 4: Simplify right side
    241,281x = 270,357,621,660.56
  5. Step 5: Solve for x
    x = 270,357,621,660.56/241,281
  6. Step 6: Final answer
    x = 1,120,509.37

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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.