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Finding the Third Proportional to 277,348 and 540,872

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Solution

The third proportional to 277,348 and 540,872 is: 1,054,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,348 : 540,872 = 540,872 : x
  2. Step 2: Convert to fraction form
    277,348/540,872 = 540,872/x
  3. Step 3: Cross multiply
    277,348x = 540,872 × 540,872
  4. Step 4: Simplify right side
    277,348x = 292,542,520,384
  5. Step 5: Solve for x
    x = 292,542,520,384/277,348
  6. Step 6: Final answer
    x = 1,054,785.04

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.