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Finding the Third Proportional to 276,019.31 and 562,187.25

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Solution

The third proportional to 276,019.31 and 562,187.25 is: 1,145,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,019.31 : 562,187.25 = 562,187.25 : x
  2. Step 2: Convert to fraction form
    276,019.31/562,187.25 = 562,187.25/x
  3. Step 3: Cross multiply
    276,019.31x = 562,187.25 × 562,187.25
  4. Step 4: Simplify right side
    276,019.31x = 316,054,504,062.56
  5. Step 5: Solve for x
    x = 316,054,504,062.56/276,019.31
  6. Step 6: Final answer
    x = 1,145,044.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.