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Finding the Third Proportional to 200,920 and 442,727

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Solution

The third proportional to 200,920 and 442,727 is: 975,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,920 : 442,727 = 442,727 : x
  2. Step 2: Convert to fraction form
    200,920/442,727 = 442,727/x
  3. Step 3: Cross multiply
    200,920x = 442,727 × 442,727
  4. Step 4: Simplify right side
    200,920x = 196,007,196,529
  5. Step 5: Solve for x
    x = 196,007,196,529/200,920
  6. Step 6: Final answer
    x = 975,548.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.