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Finding the Third Proportional to 398,048 and 596,826

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Solution

The third proportional to 398,048 and 596,826 is: 894,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,048 : 596,826 = 596,826 : x
  2. Step 2: Convert to fraction form
    398,048/596,826 = 596,826/x
  3. Step 3: Cross multiply
    398,048x = 596,826 × 596,826
  4. Step 4: Simplify right side
    398,048x = 356,201,274,276
  5. Step 5: Solve for x
    x = 356,201,274,276/398,048
  6. Step 6: Final answer
    x = 894,870.15

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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.