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Finding the Third Proportional to 374,997 and 580,803

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Solution

The third proportional to 374,997 and 580,803 is: 899,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,997 : 580,803 = 580,803 : x
  2. Step 2: Convert to fraction form
    374,997/580,803 = 580,803/x
  3. Step 3: Cross multiply
    374,997x = 580,803 × 580,803
  4. Step 4: Simplify right side
    374,997x = 337,332,124,809
  5. Step 5: Solve for x
    x = 337,332,124,809/374,997
  6. Step 6: Final answer
    x = 899,559.53

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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.