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Finding the Third Proportional to 375,738.75 and 582,471

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Solution

The third proportional to 375,738.75 and 582,471 is: 902,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,738.75 : 582,471 = 582,471 : x
  2. Step 2: Convert to fraction form
    375,738.75/582,471 = 582,471/x
  3. Step 3: Cross multiply
    375,738.75x = 582,471 × 582,471
  4. Step 4: Simplify right side
    375,738.75x = 339,272,465,841
  5. Step 5: Solve for x
    x = 339,272,465,841/375,738.75
  6. Step 6: Final answer
    x = 902,947.77

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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.