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Finding the Third Proportional to 258,271.88 and 547,809.75

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Solution

The third proportional to 258,271.88 and 547,809.75 is: 1,161,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,271.88 : 547,809.75 = 547,809.75 : x
  2. Step 2: Convert to fraction form
    258,271.88/547,809.75 = 547,809.75/x
  3. Step 3: Cross multiply
    258,271.88x = 547,809.75 × 547,809.75
  4. Step 4: Simplify right side
    258,271.88x = 300,095,522,195.06
  5. Step 5: Solve for x
    x = 300,095,522,195.06/258,271.88
  6. Step 6: Final answer
    x = 1,161,936.51

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.