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Finding the Third Proportional to 250,832 and 547,360

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Solution

The third proportional to 250,832 and 547,360 is: 1,194,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,832 : 547,360 = 547,360 : x
  2. Step 2: Convert to fraction form
    250,832/547,360 = 547,360/x
  3. Step 3: Cross multiply
    250,832x = 547,360 × 547,360
  4. Step 4: Simplify right side
    250,832x = 299,602,969,600
  5. Step 5: Solve for x
    x = 299,602,969,600/250,832
  6. Step 6: Final answer
    x = 1,194,436.79

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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.