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Finding the Third Proportional to 211,964.63 and 454,638.38

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Solution

The third proportional to 211,964.63 and 454,638.38 is: 975,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,964.63 : 454,638.38 = 454,638.38 : x
  2. Step 2: Convert to fraction form
    211,964.63/454,638.38 = 454,638.38/x
  3. Step 3: Cross multiply
    211,964.63x = 454,638.38 × 454,638.38
  4. Step 4: Simplify right side
    211,964.63x = 206,696,052,022.64
  5. Step 5: Solve for x
    x = 206,696,052,022.64/211,964.63
  6. Step 6: Final answer
    x = 975,144.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.