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Finding the Third Proportional to 399,007.69 and 561,193.31

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Solution

The third proportional to 399,007.69 and 561,193.31 is: 789,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,007.69 : 561,193.31 = 561,193.31 : x
  2. Step 2: Convert to fraction form
    399,007.69/561,193.31 = 561,193.31/x
  3. Step 3: Cross multiply
    399,007.69x = 561,193.31 × 561,193.31
  4. Step 4: Simplify right side
    399,007.69x = 314,937,933,994.72
  5. Step 5: Solve for x
    x = 314,937,933,994.72/399,007.69
  6. Step 6: Final answer
    x = 789,302.92

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.