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Finding the Third Proportional to 200,937 and 445,938

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Solution

The third proportional to 200,937 and 445,938 is: 989,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,937 : 445,938 = 445,938 : x
  2. Step 2: Convert to fraction form
    200,937/445,938 = 445,938/x
  3. Step 3: Cross multiply
    200,937x = 445,938 × 445,938
  4. Step 4: Simplify right side
    200,937x = 198,860,699,844
  5. Step 5: Solve for x
    x = 198,860,699,844/200,937
  6. Step 6: Final answer
    x = 989,666.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.