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Finding the Third Proportional to 577,761 and 1,288,296

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Solution

The third proportional to 577,761 and 1,288,296 is: 2,872,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,761 : 1,288,296 = 1,288,296 : x
  2. Step 2: Convert to fraction form
    577,761/1,288,296 = 1,288,296/x
  3. Step 3: Cross multiply
    577,761x = 1,288,296 × 1,288,296
  4. Step 4: Simplify right side
    577,761x = 1,659,706,583,616
  5. Step 5: Solve for x
    x = 1,659,706,583,616/577,761
  6. Step 6: Final answer
    x = 2,872,652.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.