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Finding the Third Proportional to 335,409 and 498,546

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Solution

The third proportional to 335,409 and 498,546 is: 741,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,409 : 498,546 = 498,546 : x
  2. Step 2: Convert to fraction form
    335,409/498,546 = 498,546/x
  3. Step 3: Cross multiply
    335,409x = 498,546 × 498,546
  4. Step 4: Simplify right side
    335,409x = 248,548,114,116
  5. Step 5: Solve for x
    x = 248,548,114,116/335,409
  6. Step 6: Final answer
    x = 741,029.95

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Why These Related Problems?

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