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Finding the Third Proportional to 278,185 and 600,717

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Solution

The third proportional to 278,185 and 600,717 is: 1,297,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,185 : 600,717 = 600,717 : x
  2. Step 2: Convert to fraction form
    278,185/600,717 = 600,717/x
  3. Step 3: Cross multiply
    278,185x = 600,717 × 600,717
  4. Step 4: Simplify right side
    278,185x = 360,860,914,089
  5. Step 5: Solve for x
    x = 360,860,914,089/278,185
  6. Step 6: Final answer
    x = 1,297,197.60

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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.