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Finding the Third Proportional to 366,440 and 582,908

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Solution

The third proportional to 366,440 and 582,908 is: 927,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,440 : 582,908 = 582,908 : x
  2. Step 2: Convert to fraction form
    366,440/582,908 = 582,908/x
  3. Step 3: Cross multiply
    366,440x = 582,908 × 582,908
  4. Step 4: Simplify right side
    366,440x = 339,781,736,464
  5. Step 5: Solve for x
    x = 339,781,736,464/366,440
  6. Step 6: Final answer
    x = 927,250.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.