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Finding the Third Proportional to 582,944.06 and 857,745.56

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Solution

The third proportional to 582,944.06 and 857,745.56 is: 1,262,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,944.06 : 857,745.56 = 857,745.56 : x
  2. Step 2: Convert to fraction form
    582,944.06/857,745.56 = 857,745.56/x
  3. Step 3: Cross multiply
    582,944.06x = 857,745.56 × 857,745.56
  4. Step 4: Simplify right side
    582,944.06x = 735,727,449,988.44
  5. Step 5: Solve for x
    x = 735,727,449,988.44/582,944.06
  6. Step 6: Final answer
    x = 1,262,089.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.