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Finding the Third Proportional to 200,986 and 436,964

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Solution

The third proportional to 200,986 and 436,964 is: 950,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,986 : 436,964 = 436,964 : x
  2. Step 2: Convert to fraction form
    200,986/436,964 = 436,964/x
  3. Step 3: Cross multiply
    200,986x = 436,964 × 436,964
  4. Step 4: Simplify right side
    200,986x = 190,937,537,296
  5. Step 5: Solve for x
    x = 190,937,537,296/200,986
  6. Step 6: Final answer
    x = 950,004.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.