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Finding the Third Proportional to 577,625.06 and 1,288,064.25

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Solution

The third proportional to 577,625.06 and 1,288,064.25 is: 2,872,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,625.06 : 1,288,064.25 = 1,288,064.25 : x
  2. Step 2: Convert to fraction form
    577,625.06/1,288,064.25 = 1,288,064.25/x
  3. Step 3: Cross multiply
    577,625.06x = 1,288,064.25 × 1,288,064.25
  4. Step 4: Simplify right side
    577,625.06x = 1,659,109,512,128.06
  5. Step 5: Solve for x
    x = 1,659,109,512,128.06/577,625.06
  6. Step 6: Final answer
    x = 2,872,294.88

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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.