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Finding the Third Proportional to 264,858.75 and 577,003.50

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Solution

The third proportional to 264,858.75 and 577,003.50 is: 1,257,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,858.75 : 577,003.50 = 577,003.50 : x
  2. Step 2: Convert to fraction form
    264,858.75/577,003.50 = 577,003.50/x
  3. Step 3: Cross multiply
    264,858.75x = 577,003.50 × 577,003.50
  4. Step 4: Simplify right side
    264,858.75x = 332,933,039,012.25
  5. Step 5: Solve for x
    x = 332,933,039,012.25/264,858.75
  6. Step 6: Final answer
    x = 1,257,021.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.