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Finding the Third Proportional to 548,206 and 843,717

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Solution

The third proportional to 548,206 and 843,717 is: 1,298,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,206 : 843,717 = 843,717 : x
  2. Step 2: Convert to fraction form
    548,206/843,717 = 843,717/x
  3. Step 3: Cross multiply
    548,206x = 843,717 × 843,717
  4. Step 4: Simplify right side
    548,206x = 711,858,376,089
  5. Step 5: Solve for x
    x = 711,858,376,089/548,206
  6. Step 6: Final answer
    x = 1,298,523.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.