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Finding the Third Proportional to 213,165 and 460,485

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Solution

The third proportional to 213,165 and 460,485 is: 994,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,165 : 460,485 = 460,485 : x
  2. Step 2: Convert to fraction form
    213,165/460,485 = 460,485/x
  3. Step 3: Cross multiply
    213,165x = 460,485 × 460,485
  4. Step 4: Simplify right side
    213,165x = 212,046,435,225
  5. Step 5: Solve for x
    x = 212,046,435,225/213,165
  6. Step 6: Final answer
    x = 994,752.59

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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.