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Finding the Third Proportional to 270,524.25 and 577,237.50

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Solution

The third proportional to 270,524.25 and 577,237.50 is: 1,231,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,524.25 : 577,237.50 = 577,237.50 : x
  2. Step 2: Convert to fraction form
    270,524.25/577,237.50 = 577,237.50/x
  3. Step 3: Cross multiply
    270,524.25x = 577,237.50 × 577,237.50
  4. Step 4: Simplify right side
    270,524.25x = 333,203,131,406.25
  5. Step 5: Solve for x
    x = 333,203,131,406.25/270,524.25
  6. Step 6: Final answer
    x = 1,231,694.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.