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Finding the Third Proportional to 373,953.25 and 580,135.88

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Solution

The third proportional to 373,953.25 and 580,135.88 is: 899,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,953.25 : 580,135.88 = 580,135.88 : x
  2. Step 2: Convert to fraction form
    373,953.25/580,135.88 = 580,135.88/x
  3. Step 3: Cross multiply
    373,953.25x = 580,135.88 × 580,135.88
  4. Step 4: Simplify right side
    373,953.25x = 336,557,633,462.02
  5. Step 5: Solve for x
    x = 336,557,633,462.02/373,953.25
  6. Step 6: Final answer
    x = 899,999.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.