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Finding the Third Proportional to 277,617 and 576,238

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Solution

The third proportional to 277,617 and 576,238 is: 1,196,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,617 : 576,238 = 576,238 : x
  2. Step 2: Convert to fraction form
    277,617/576,238 = 576,238/x
  3. Step 3: Cross multiply
    277,617x = 576,238 × 576,238
  4. Step 4: Simplify right side
    277,617x = 332,050,232,644
  5. Step 5: Solve for x
    x = 332,050,232,644/277,617
  6. Step 6: Final answer
    x = 1,196,073.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.