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Finding the Third Proportional to 200,983 and 441,413

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Solution

The third proportional to 200,983 and 441,413 is: 969,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,983 : 441,413 = 441,413 : x
  2. Step 2: Convert to fraction form
    200,983/441,413 = 441,413/x
  3. Step 3: Cross multiply
    200,983x = 441,413 × 441,413
  4. Step 4: Simplify right side
    200,983x = 194,845,436,569
  5. Step 5: Solve for x
    x = 194,845,436,569/200,983
  6. Step 6: Final answer
    x = 969,462.28

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