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Finding the Third Proportional to 551,184 and 851,745

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Solution

The third proportional to 551,184 and 851,745 is: 1,316,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,184 : 851,745 = 851,745 : x
  2. Step 2: Convert to fraction form
    551,184/851,745 = 851,745/x
  3. Step 3: Cross multiply
    551,184x = 851,745 × 851,745
  4. Step 4: Simplify right side
    551,184x = 725,469,545,025
  5. Step 5: Solve for x
    x = 725,469,545,025/551,184
  6. Step 6: Final answer
    x = 1,316,202.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.