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Finding the Third Proportional to 213,168 and 460,491

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Solution

The third proportional to 213,168 and 460,491 is: 994,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,168 : 460,491 = 460,491 : x
  2. Step 2: Convert to fraction form
    213,168/460,491 = 460,491/x
  3. Step 3: Cross multiply
    213,168x = 460,491 × 460,491
  4. Step 4: Simplify right side
    213,168x = 212,051,961,081
  5. Step 5: Solve for x
    x = 212,051,961,081/213,168
  6. Step 6: Final answer
    x = 994,764.51

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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.