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Finding the Third Proportional to 270,945 and 578,151

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Solution

The third proportional to 270,945 and 578,151 is: 1,233,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,945 : 578,151 = 578,151 : x
  2. Step 2: Convert to fraction form
    270,945/578,151 = 578,151/x
  3. Step 3: Cross multiply
    270,945x = 578,151 × 578,151
  4. Step 4: Simplify right side
    270,945x = 334,258,578,801
  5. Step 5: Solve for x
    x = 334,258,578,801/270,945
  6. Step 6: Final answer
    x = 1,233,676.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.