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Finding the Third Proportional to 399,439.75 and 561,838.75

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Solution

The third proportional to 399,439.75 and 561,838.75 is: 790,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,439.75 : 561,838.75 = 561,838.75 : x
  2. Step 2: Convert to fraction form
    399,439.75/561,838.75 = 561,838.75/x
  3. Step 3: Cross multiply
    399,439.75x = 561,838.75 × 561,838.75
  4. Step 4: Simplify right side
    399,439.75x = 315,662,781,001.56
  5. Step 5: Solve for x
    x = 315,662,781,001.56/399,439.75
  6. Step 6: Final answer
    x = 790,263.82

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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.