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Finding the Third Proportional to 404,793 and 643,371

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Solution

The third proportional to 404,793 and 643,371 is: 1,022,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,793 : 643,371 = 643,371 : x
  2. Step 2: Convert to fraction form
    404,793/643,371 = 643,371/x
  3. Step 3: Cross multiply
    404,793x = 643,371 × 643,371
  4. Step 4: Simplify right side
    404,793x = 413,926,243,641
  5. Step 5: Solve for x
    x = 413,926,243,641/404,793
  6. Step 6: Final answer
    x = 1,022,562.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.