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Finding the Third Proportional to 398,568 and 592,176

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Solution

The third proportional to 398,568 and 592,176 is: 879,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,568 : 592,176 = 592,176 : x
  2. Step 2: Convert to fraction form
    398,568/592,176 = 592,176/x
  3. Step 3: Cross multiply
    398,568x = 592,176 × 592,176
  4. Step 4: Simplify right side
    398,568x = 350,672,414,976
  5. Step 5: Solve for x
    x = 350,672,414,976/398,568
  6. Step 6: Final answer
    x = 879,830.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.