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Finding the Third Proportional to 200,599 and 418,007

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Solution

The third proportional to 200,599 and 418,007 is: 871,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,599 : 418,007 = 418,007 : x
  2. Step 2: Convert to fraction form
    200,599/418,007 = 418,007/x
  3. Step 3: Cross multiply
    200,599x = 418,007 × 418,007
  4. Step 4: Simplify right side
    200,599x = 174,729,852,049
  5. Step 5: Solve for x
    x = 174,729,852,049/200,599
  6. Step 6: Final answer
    x = 871,040.49

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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.