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Finding the Third Proportional to 373,949 and 580,130

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Solution

The third proportional to 373,949 and 580,130 is: 899,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,949 : 580,130 = 580,130 : x
  2. Step 2: Convert to fraction form
    373,949/580,130 = 580,130/x
  3. Step 3: Cross multiply
    373,949x = 580,130 × 580,130
  4. Step 4: Simplify right side
    373,949x = 336,550,816,900
  5. Step 5: Solve for x
    x = 336,550,816,900/373,949
  6. Step 6: Final answer
    x = 899,991.22

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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.