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Finding the Third Proportional to 398,052 and 596,832

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Solution

The third proportional to 398,052 and 596,832 is: 894,879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,052 : 596,832 = 596,832 : x
  2. Step 2: Convert to fraction form
    398,052/596,832 = 596,832/x
  3. Step 3: Cross multiply
    398,052x = 596,832 × 596,832
  4. Step 4: Simplify right side
    398,052x = 356,208,436,224
  5. Step 5: Solve for x
    x = 356,208,436,224/398,052
  6. Step 6: Final answer
    x = 894,879.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.