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Finding the Third Proportional to 213,494 and 459,976

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Solution

The third proportional to 213,494 and 459,976 is: 991,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,494 : 459,976 = 459,976 : x
  2. Step 2: Convert to fraction form
    213,494/459,976 = 459,976/x
  3. Step 3: Cross multiply
    213,494x = 459,976 × 459,976
  4. Step 4: Simplify right side
    213,494x = 211,577,920,576
  5. Step 5: Solve for x
    x = 211,577,920,576/213,494
  6. Step 6: Final answer
    x = 991,025.14

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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.