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Finding the Third Proportional to 251,190 and 541,737

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Solution

The third proportional to 251,190 and 541,737 is: 1,168,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,190 : 541,737 = 541,737 : x
  2. Step 2: Convert to fraction form
    251,190/541,737 = 541,737/x
  3. Step 3: Cross multiply
    251,190x = 541,737 × 541,737
  4. Step 4: Simplify right side
    251,190x = 293,478,977,169
  5. Step 5: Solve for x
    x = 293,478,977,169/251,190
  6. Step 6: Final answer
    x = 1,168,354.54

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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.