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Finding the Third Proportional to 251,850 and 544,296

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Solution

The third proportional to 251,850 and 544,296 is: 1,176,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,850 : 544,296 = 544,296 : x
  2. Step 2: Convert to fraction form
    251,850/544,296 = 544,296/x
  3. Step 3: Cross multiply
    251,850x = 544,296 × 544,296
  4. Step 4: Simplify right side
    251,850x = 296,258,135,616
  5. Step 5: Solve for x
    x = 296,258,135,616/251,850
  6. Step 6: Final answer
    x = 1,176,327.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.