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Finding the Third Proportional to 408,843 and 572,913

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Solution

The third proportional to 408,843 and 572,913 is: 802,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,843 : 572,913 = 572,913 : x
  2. Step 2: Convert to fraction form
    408,843/572,913 = 572,913/x
  3. Step 3: Cross multiply
    408,843x = 572,913 × 572,913
  4. Step 4: Simplify right side
    408,843x = 328,229,305,569
  5. Step 5: Solve for x
    x = 328,229,305,569/408,843
  6. Step 6: Final answer
    x = 802,824.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.