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Finding the Third Proportional to 241,280.25 and 519,957.75

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Solution

The third proportional to 241,280.25 and 519,957.75 is: 1,120,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,280.25 : 519,957.75 = 519,957.75 : x
  2. Step 2: Convert to fraction form
    241,280.25/519,957.75 = 519,957.75/x
  3. Step 3: Cross multiply
    241,280.25x = 519,957.75 × 519,957.75
  4. Step 4: Simplify right side
    241,280.25x = 270,356,061,785.06
  5. Step 5: Solve for x
    x = 270,356,061,785.06/241,280.25
  6. Step 6: Final answer
    x = 1,120,506.39

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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.