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Finding the Third Proportional to 551,214 and 826,824

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Solution

The third proportional to 551,214 and 826,824 is: 1,240,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,214 : 826,824 = 826,824 : x
  2. Step 2: Convert to fraction form
    551,214/826,824 = 826,824/x
  3. Step 3: Cross multiply
    551,214x = 826,824 × 826,824
  4. Step 4: Simplify right side
    551,214x = 683,637,926,976
  5. Step 5: Solve for x
    x = 683,637,926,976/551,214
  6. Step 6: Final answer
    x = 1,240,240.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.