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Finding the Third Proportional to 216,286 and 465,851

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Solution

The third proportional to 216,286 and 465,851 is: 1,003,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,286 : 465,851 = 465,851 : x
  2. Step 2: Convert to fraction form
    216,286/465,851 = 465,851/x
  3. Step 3: Cross multiply
    216,286x = 465,851 × 465,851
  4. Step 4: Simplify right side
    216,286x = 217,017,154,201
  5. Step 5: Solve for x
    x = 217,017,154,201/216,286
  6. Step 6: Final answer
    x = 1,003,380.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.