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Finding the Third Proportional to 250,692 and 547,116

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Solution

The third proportional to 250,692 and 547,116 is: 1,194,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,692 : 547,116 = 547,116 : x
  2. Step 2: Convert to fraction form
    250,692/547,116 = 547,116/x
  3. Step 3: Cross multiply
    250,692x = 547,116 × 547,116
  4. Step 4: Simplify right side
    250,692x = 299,335,917,456
  5. Step 5: Solve for x
    x = 299,335,917,456/250,692
  6. Step 6: Final answer
    x = 1,194,038.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.