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Finding the Third Proportional to 222,807 and 463,972.50

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Solution

The third proportional to 222,807 and 463,972.50 is: 966,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,807 : 463,972.50 = 463,972.50 : x
  2. Step 2: Convert to fraction form
    222,807/463,972.50 = 463,972.50/x
  3. Step 3: Cross multiply
    222,807x = 463,972.50 × 463,972.50
  4. Step 4: Simplify right side
    222,807x = 215,270,480,756.25
  5. Step 5: Solve for x
    x = 215,270,480,756.25/222,807
  6. Step 6: Final answer
    x = 966,174.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.