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Finding the Third Proportional to 213,477 and 459,941.25

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Solution

The third proportional to 213,477 and 459,941.25 is: 990,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,477 : 459,941.25 = 459,941.25 : x
  2. Step 2: Convert to fraction form
    213,477/459,941.25 = 459,941.25/x
  3. Step 3: Cross multiply
    213,477x = 459,941.25 × 459,941.25
  4. Step 4: Simplify right side
    213,477x = 211,545,953,451.56
  5. Step 5: Solve for x
    x = 211,545,953,451.56/213,477
  6. Step 6: Final answer
    x = 990,954.31

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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.