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Finding the Third Proportional to 336,879 and 492,754

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Solution

The third proportional to 336,879 and 492,754 is: 720,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,879 : 492,754 = 492,754 : x
  2. Step 2: Convert to fraction form
    336,879/492,754 = 492,754/x
  3. Step 3: Cross multiply
    336,879x = 492,754 × 492,754
  4. Step 4: Simplify right side
    336,879x = 242,806,504,516
  5. Step 5: Solve for x
    x = 242,806,504,516/336,879
  6. Step 6: Final answer
    x = 720,752.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.