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Finding the Third Proportional to 598,176.56 and 919,439.44

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Solution

The third proportional to 598,176.56 and 919,439.44 is: 1,413,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,176.56 : 919,439.44 = 919,439.44 : x
  2. Step 2: Convert to fraction form
    598,176.56/919,439.44 = 919,439.44/x
  3. Step 3: Cross multiply
    598,176.56x = 919,439.44 × 919,439.44
  4. Step 4: Simplify right side
    598,176.56x = 845,368,879,230.32
  5. Step 5: Solve for x
    x = 845,368,879,230.32/598,176.56
  6. Step 6: Final answer
    x = 1,413,243.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.