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Finding the Third Proportional to 212,697 and 505,822.50

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Solution

The third proportional to 212,697 and 505,822.50 is: 1,202,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,697 : 505,822.50 = 505,822.50 : x
  2. Step 2: Convert to fraction form
    212,697/505,822.50 = 505,822.50/x
  3. Step 3: Cross multiply
    212,697x = 505,822.50 × 505,822.50
  4. Step 4: Simplify right side
    212,697x = 255,856,401,506.25
  5. Step 5: Solve for x
    x = 255,856,401,506.25/212,697
  6. Step 6: Final answer
    x = 1,202,914.95

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.