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Finding the Third Proportional to 403,134 and 582,744

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Solution

The third proportional to 403,134 and 582,744 is: 842,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,134 : 582,744 = 582,744 : x
  2. Step 2: Convert to fraction form
    403,134/582,744 = 582,744/x
  3. Step 3: Cross multiply
    403,134x = 582,744 × 582,744
  4. Step 4: Simplify right side
    403,134x = 339,590,569,536
  5. Step 5: Solve for x
    x = 339,590,569,536/403,134
  6. Step 6: Final answer
    x = 842,376.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.