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Finding the Third Proportional to 251,584 and 547,456

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Solution

The third proportional to 251,584 and 547,456 is: 1,191,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,584 : 547,456 = 547,456 : x
  2. Step 2: Convert to fraction form
    251,584/547,456 = 547,456/x
  3. Step 3: Cross multiply
    251,584x = 547,456 × 547,456
  4. Step 4: Simplify right side
    251,584x = 299,708,071,936
  5. Step 5: Solve for x
    x = 299,708,071,936/251,584
  6. Step 6: Final answer
    x = 1,191,284.31

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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.