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Finding the Third Proportional to 200,979 and 418,497

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Solution

The third proportional to 200,979 and 418,497 is: 871,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,979 : 418,497 = 418,497 : x
  2. Step 2: Convert to fraction form
    200,979/418,497 = 418,497/x
  3. Step 3: Cross multiply
    200,979x = 418,497 × 418,497
  4. Step 4: Simplify right side
    200,979x = 175,139,739,009
  5. Step 5: Solve for x
    x = 175,139,739,009/200,979
  6. Step 6: Final answer
    x = 871,433.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.