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Finding the Third Proportional to 200,984 and 436,960

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Solution

The third proportional to 200,984 and 436,960 is: 949,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,984 : 436,960 = 436,960 : x
  2. Step 2: Convert to fraction form
    200,984/436,960 = 436,960/x
  3. Step 3: Cross multiply
    200,984x = 436,960 × 436,960
  4. Step 4: Simplify right side
    200,984x = 190,934,041,600
  5. Step 5: Solve for x
    x = 190,934,041,600/200,984
  6. Step 6: Final answer
    x = 949,996.23

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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.