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Finding the Third Proportional to 265,936.50 and 576,179.25

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Solution

The third proportional to 265,936.50 and 576,179.25 is: 1,248,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,936.50 : 576,179.25 = 576,179.25 : x
  2. Step 2: Convert to fraction form
    265,936.50/576,179.25 = 576,179.25/x
  3. Step 3: Cross multiply
    265,936.50x = 576,179.25 × 576,179.25
  4. Step 4: Simplify right side
    265,936.50x = 331,982,528,130.56
  5. Step 5: Solve for x
    x = 331,982,528,130.56/265,936.50
  6. Step 6: Final answer
    x = 1,248,352.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.