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Finding the Third Proportional to 213,025 and 463,634

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Solution

The third proportional to 213,025 and 463,634 is: 1,009,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,025 : 463,634 = 463,634 : x
  2. Step 2: Convert to fraction form
    213,025/463,634 = 463,634/x
  3. Step 3: Cross multiply
    213,025x = 463,634 × 463,634
  4. Step 4: Simplify right side
    213,025x = 214,956,485,956
  5. Step 5: Solve for x
    x = 214,956,485,956/213,025
  6. Step 6: Final answer
    x = 1,009,066.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.