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Finding the Third Proportional to 373,953 and 580,135.50

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Solution

The third proportional to 373,953 and 580,135.50 is: 899,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,953 : 580,135.50 = 580,135.50 : x
  2. Step 2: Convert to fraction form
    373,953/580,135.50 = 580,135.50/x
  3. Step 3: Cross multiply
    373,953x = 580,135.50 × 580,135.50
  4. Step 4: Simplify right side
    373,953x = 336,557,198,360.25
  5. Step 5: Solve for x
    x = 336,557,198,360.25/373,953
  6. Step 6: Final answer
    x = 899,998.66

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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.