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Finding the Third Proportional to 200,577 and 413,864

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Solution

The third proportional to 200,577 and 413,864 is: 853,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,577 : 413,864 = 413,864 : x
  2. Step 2: Convert to fraction form
    200,577/413,864 = 413,864/x
  3. Step 3: Cross multiply
    200,577x = 413,864 × 413,864
  4. Step 4: Simplify right side
    200,577x = 171,283,410,496
  5. Step 5: Solve for x
    x = 171,283,410,496/200,577
  6. Step 6: Final answer
    x = 853,953.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.