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Finding the Third Proportional to 370,938 and 582,516

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Solution

The third proportional to 370,938 and 582,516 is: 914,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,938 : 582,516 = 582,516 : x
  2. Step 2: Convert to fraction form
    370,938/582,516 = 582,516/x
  3. Step 3: Cross multiply
    370,938x = 582,516 × 582,516
  4. Step 4: Simplify right side
    370,938x = 339,324,890,256
  5. Step 5: Solve for x
    x = 339,324,890,256/370,938
  6. Step 6: Final answer
    x = 914,775.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.