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Finding the Third Proportional to 277,572 and 541,320

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Solution

The third proportional to 277,572 and 541,320 is: 1,055,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,572 : 541,320 = 541,320 : x
  2. Step 2: Convert to fraction form
    277,572/541,320 = 541,320/x
  3. Step 3: Cross multiply
    277,572x = 541,320 × 541,320
  4. Step 4: Simplify right side
    277,572x = 293,027,342,400
  5. Step 5: Solve for x
    x = 293,027,342,400/277,572
  6. Step 6: Final answer
    x = 1,055,680.48

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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.