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Finding the Third Proportional to 376,938.56 and 582,904.69

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Solution

The third proportional to 376,938.56 and 582,904.69 is: 901,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,938.56 : 582,904.69 = 582,904.69 : x
  2. Step 2: Convert to fraction form
    376,938.56/582,904.69 = 582,904.69/x
  3. Step 3: Cross multiply
    376,938.56x = 582,904.69 × 582,904.69
  4. Step 4: Simplify right side
    376,938.56x = 339,777,874,709.47
  5. Step 5: Solve for x
    x = 339,777,874,709.47/376,938.56
  6. Step 6: Final answer
    x = 901,414.47

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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.