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Finding the Third Proportional to 375,941.25 and 582,400.13

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Solution

The third proportional to 375,941.25 and 582,400.13 is: 902,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,941.25 : 582,400.13 = 582,400.13 : x
  2. Step 2: Convert to fraction form
    375,941.25/582,400.13 = 582,400.13/x
  3. Step 3: Cross multiply
    375,941.25x = 582,400.13 × 582,400.13
  4. Step 4: Simplify right side
    375,941.25x = 339,189,905,600.02
  5. Step 5: Solve for x
    x = 339,189,905,600.02/375,941.25
  6. Step 6: Final answer
    x = 902,241.79

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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.