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Finding the Third Proportional to 200,988 and 436,968

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Solution

The third proportional to 200,988 and 436,968 is: 950,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,988 : 436,968 = 436,968 : x
  2. Step 2: Convert to fraction form
    200,988/436,968 = 436,968/x
  3. Step 3: Cross multiply
    200,988x = 436,968 × 436,968
  4. Step 4: Simplify right side
    200,988x = 190,941,033,024
  5. Step 5: Solve for x
    x = 190,941,033,024/200,988
  6. Step 6: Final answer
    x = 950,012.11

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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.