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Finding the Third Proportional to 551,584 and 843,414

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Solution

The third proportional to 551,584 and 843,414 is: 1,289,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,584 : 843,414 = 843,414 : x
  2. Step 2: Convert to fraction form
    551,584/843,414 = 843,414/x
  3. Step 3: Cross multiply
    551,584x = 843,414 × 843,414
  4. Step 4: Simplify right side
    551,584x = 711,347,175,396
  5. Step 5: Solve for x
    x = 711,347,175,396/551,584
  6. Step 6: Final answer
    x = 1,289,644.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.